1679674752 has 128 divisors (see below), whose sum is σ = 5665651200. Its totient is φ = 479900160.

The previous prime is 1679674723. The next prime is 1679674769. The reversal of 1679674752 is 2574769761.

1679674752 is a `hidden beast` number, since 167 + 9 + 6 + 7 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10524 + ... + 58907.

It is an arithmetic number, because the mean of its divisors is an integer number (44262900).

Almost surely, 2^1679674752 is an apocalyptic number.

1679674752 is a gapful number since it is divisible by the number (12) 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 1679674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832825600).

1679674752 is an abundant number, since it is smaller than the sum of its proper divisors (3985976448).

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

1679674752 is an equidigital number, since it uses as much as digits as its factorization.

1679674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69461 (or 69443 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The square root of 1679674752 is about 40983.8352524504. The cubic root of 1679674752 is about 1188.7076693820.

The spelling of 1679674752 in words is "one billion, six hundred seventy-nine million, six hundred seventy-four thousand, seven hundred fifty-two".