32864696352 has 384 divisors, whose sum is σ = 101395768320. Its totient is φ = 10475764992.

The previous prime is 32864696329. The next prime is 32864696387. The reversal of 32864696352 is 25369646823.

It is a happy number.

32864696352 is a `hidden beast` number, since 3 + 286 + 4 + 6 + 9 + 6 + 352 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201623823 + ... + 201623985.

It is an arithmetic number, because the mean of its divisors is an integer number (264051480).

Almost surely, 2^32864696352 is an apocalyptic number.

32864696352 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 32864696352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50697884160).

32864696352 is an abundant number, since it is smaller than the sum of its proper divisors (68531071968).

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

32864696352 is an equidigital number, since it uses as much as digits as its factorization.

32864696352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 278 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 32864696352 in words is "thirty-two billion, eight hundred sixty-four million, six hundred ninety-six thousand, three hundred fifty-two".