1679634432 has 312 divisors, whose sum is σ = 5806305024. Its totient is φ = 457408512.

The previous prime is 1679634431. The next prime is 1679634449. The reversal of 1679634432 is 2344369761.

1679634432 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 634 + 4 + 3 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1679634431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5934963 + ... + 5935245.

It is an arithmetic number, because the mean of its divisors is an integer number (18609952).

Almost surely, 2^1679634432 is an apocalyptic number.

1679634432 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 1679634432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903152512).

1679634432 is an abundant number, since it is smaller than the sum of its proper divisors (4126670592).

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

1679634432 is a wasteful number, since it uses less digits than its factorization.

1679634432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 318 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1679634432 is about 40983.3433482433. The cubic root of 1679634432 is about 1188.6981578031.

The spelling of 1679634432 in words is "one billion, six hundred seventy-nine million, six hundred thirty-four thousand, four hundred thirty-two".