1679352480 has 384 divisors, whose sum is σ = 6706022400. Its totient is φ = 388841472.

The previous prime is 1679352457. The next prime is 1679352523. The reversal of 1679352480 is 842539761.

1679352480 is a `hidden beast` number, since 167 + 9 + 3 + 5 + 2 + 480 = 666.

1679352480 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1679352480³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

1679352480 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 953841 + ... + 955599.

It is an arithmetic number, because the mean of its divisors is an integer number (17463600).

It is a 1-persistent number, because it is pandigital, but 2⋅1679352480 = 3358704960 is not.

Almost surely, 2^1679352480 is an apocalyptic number.

1679352480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1679352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3353011200).

1679352480 is an abundant number, since it is smaller than the sum of its proper divisors (5026669920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1679352480 is a wasteful number, since it uses less digits than its factorization.

1679352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1679352480 is about 40979.9033673824. The cubic root of 1679352480 is about 1188.6316404364.

It can be divided in two parts, 16793524 and 80, that added together give a square (16793604 = 4098²).

The spelling of 1679352480 in words is "one billion, six hundred seventy-nine million, three hundred fifty-two thousand, four hundred eighty".