32313677760 has 896 divisors, whose sum is σ = 142476687360. Its totient is φ = 6712492032.

The previous prime is 32313677729. The next prime is 32313677813. The reversal of 32313677760 is 6777631323.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 127 ways as a sum of consecutive naturals, for example, 57395239 + ... + 57395801.

It is an arithmetic number, because the mean of its divisors is an integer number (159014160).

Almost surely, 2^32313677760 is an apocalyptic number.

32313677760 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 32313677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71238343680).

32313677760 is an abundant number, since it is smaller than the sum of its proper divisors (110163009600).

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

32313677760 is a wasteful number, since it uses less digits than its factorization.

32313677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The spelling of 32313677760 in words is "thirty-two billion, three hundred thirteen million, six hundred seventy-seven thousand, seven hundred sixty".