32617732980 has 288 divisors, whose sum is σ = 108249402240. Its totient is φ = 7315660800.

The previous prime is 32617732949. The next prime is 32617732999. The reversal of 32617732980 is 8923771623.

It is a super-3 number, since 3×32617732980³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

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, 81340780 + ... + 81341180.

It is an arithmetic number, because the mean of its divisors is an integer number (375865980).

Almost surely, 2^32617732980 is an apocalyptic number.

32617732980 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 32617732980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54124701120).

32617732980 is an abundant number, since it is smaller than the sum of its proper divisors (75631669260).

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

32617732980 is a wasteful number, since it uses less digits than its factorization.

32617732980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 32617732980 in words is "thirty-two billion, six hundred seventeen million, seven hundred thirty-two thousand, nine hundred eighty".