32679908352 has 704 divisors, whose sum is σ = 123252326400. Its totient is φ = 8320942080.

The previous prime is 32679908341. The next prime is 32679908381. The reversal of 32679908352 is 25380997623.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77994799 + ... + 77995217.

Almost surely, 2^32679908352 is an apocalyptic number.

32679908352 is a gapful number since it is divisible by the number (32) 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 32679908352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61626163200).

32679908352 is an abundant number, since it is smaller than the sum of its proper divisors (90572418048).

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

32679908352 is a wasteful number, since it uses less digits than its factorization.

32679908352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 32679908352 in words is "thirty-two billion, six hundred seventy-nine million, nine hundred eight thousand, three hundred fifty-two".