32107380480 has 1152 divisors, whose sum is σ = 142270248960. Its totient is φ = 6688604160.

The previous prime is 32107380469. The next prime is 32107380493. The reversal of 32107380480 is 8408370123.

32107380480 is a `hidden beast` number, since 32 + 1 + 0 + 73 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 152167575 + ... + 152167785.

It is an arithmetic number, because the mean of its divisors is an integer number (123498480).

Almost surely, 2^32107380480 is an apocalyptic number.

32107380480 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 32107380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71135124480).

32107380480 is an abundant number, since it is smaller than the sum of its proper divisors (110162868480).

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

32107380480 is a wasteful number, since it uses less digits than its factorization.

32107380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 32107380480 in words is "thirty-two billion, one hundred seven million, three hundred eighty thousand, four hundred eighty".