1679149440 has 448 divisors, whose sum is σ = 6220918800. Its totient is φ = 432967680.

The previous prime is 1679149399. The next prime is 1679149447. The reversal of 1679149440 is 449419761.

1679149440 is a `hidden beast` number, since 1 + 67 + 9 + 149 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679149447) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 27527010 + ... + 27527070.

Almost surely, 2^1679149440 is an apocalyptic number.

1679149440 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 1679149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110459400).

1679149440 is an abundant number, since it is smaller than the sum of its proper divisors (4541769360).

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

1679149440 is an frugal number, since it uses more digits than its factorization.

1679149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1679149440 is about 40977.4259806543. The cubic root of 1679149440 is about 1188.5837351677.

The spelling of 1679149440 in words is "one billion, six hundred seventy-nine million, one hundred forty-nine thousand, four hundred forty".