32996112480 has 384 divisors, whose sum is σ = 118396131840. Its totient is φ = 8579450880.

The previous prime is 32996112473. The next prime is 32996112517. The reversal of 32996112480 is 8421169923.

32996112480 is a `hidden beast` number, since 3 + 2 + 9 + 9 + 611 + 24 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48310219 + ... + 48310901.

It is an arithmetic number, because the mean of its divisors is an integer number (308323260).

Almost surely, 2^32996112480 is an apocalyptic number.

32996112480 is a gapful number since it is divisible by the number (30) 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 32996112480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59198065920).

32996112480 is an abundant number, since it is smaller than the sum of its proper divisors (85400019360).

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

32996112480 is a wasteful number, since it uses less digits than its factorization.

32996112480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 32996112480 in words is "thirty-two billion, nine hundred ninety-six million, one hundred twelve thousand, four hundred eighty".