32500954080 has 768 divisors, whose sum is σ = 137534423040. Its totient is φ = 7007717376.

The previous prime is 32500954069. The next prime is 32500954121. The reversal of 32500954080 is 8045900523.

32500954080 is a `hidden beast` number, since 32 + 5 + 0 + 0 + 9 + 540 + 80 = 666.

It is a super-2 number, since 2×32500954080² (a number of 22 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57727879 + ... + 57728441.

It is an arithmetic number, because the mean of its divisors is an integer number (179081280).

Almost surely, 2^32500954080 is an apocalyptic number.

32500954080 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 32500954080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68767211520).

32500954080 is an abundant number, since it is smaller than the sum of its proper divisors (105033468960).

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

32500954080 is a wasteful number, since it uses less digits than its factorization.

32500954080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 32500954080 in words is "thirty-two billion, five hundred million, nine hundred fifty-four thousand, eighty".