31645560960 has 1152 divisors, whose sum is σ = 131035320000. Its totient is φ = 7004454912.

The previous prime is 31645560949. The next prime is 31645560967. The reversal of 31645560960 is 6906554613.

31645560960 is a `hidden beast` number, since 3 + 1 + 6 + 4 + 556 + 0 + 96 + 0 = 666.

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

It is a super-2 number, since 2×31645560960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31645560967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 536365411 + ... + 536365469.

Almost surely, 2^31645560960 is an apocalyptic number.

31645560960 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 31645560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65517660000).

31645560960 is an abundant number, since it is smaller than the sum of its proper divisors (99389759040).

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

31645560960 is a wasteful number, since it uses less digits than its factorization.

31645560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 31645560960 in words is "thirty-one billion, six hundred forty-five million, five hundred sixty thousand, nine hundred sixty".