32799900672 has 1056 divisors, whose sum is σ = 129037639680. Its totient is φ = 8128512000.

The previous prime is 32799900649. The next prime is 32799900709. The reversal of 32799900672 is 27600999723.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461970397 + ... + 461970467.

Almost surely, 2^32799900672 is an apocalyptic number.

32799900672 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 32799900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64518819840).

32799900672 is an abundant number, since it is smaller than the sum of its proper divisors (96237739008).

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

32799900672 is a wasteful number, since it uses less digits than its factorization.

32799900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

It can be divided in two parts, 327 and 99900672, that added together give a palindrome (99900999).

The spelling of 32799900672 in words is "thirty-two billion, seven hundred ninety-nine million, nine hundred thousand, six hundred seventy-two".