32716878375090 has 1536 divisors, whose sum is σ = 114163325337600. Its totient is φ = 5910688143360.

The previous prime is 32716878375053. The next prime is 32716878375101. The reversal of 32716878375090 is 9057387861723.

It is a happy number.

It is a super-2 number, since 2×32716878375090² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 11131974841 + ... + 11131977779.

It is an arithmetic number, because the mean of its divisors is an integer number (74325081600).

Almost surely, 2^{32716878375090} is an apocalyptic number.

32716878375090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32716878375090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57081662668800).

32716878375090 is an abundant number, since it is smaller than the sum of its proper divisors (81446446962510).

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

32716878375090 is a wasteful number, since it uses less digits than its factorization.

32716878375090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 66.

The spelling of 32716878375090 in words is "thirty-two trillion, seven hundred sixteen billion, eight hundred seventy-eight million, three hundred seventy-five thousand, ninety".