31607564704 has 72 divisors (see below), whose sum is σ = 66277351980. Its totient is φ = 14834958336.

The previous prime is 31607564701. The next prime is 31607564731. The reversal of 31607564704 is 40746570613.

It can be written as a sum of positive squares in 6 ways, for example, as 23207475600 + 8400089104 = 152340^2 + 91652^2 .

It is not an unprimeable number, because it can be changed into a prime (31607564701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3667152 + ... + 3675760.

Almost surely, 2^31607564704 is an apocalyptic number.

31607564704 is a gapful number since it is divisible by the number (34) 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 31607564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33138675990).

31607564704 is an abundant number, since it is smaller than the sum of its proper divisors (34669787276).

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

31607564704 is a wasteful number, since it uses less digits than its factorization.

31607564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9050 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 31607564704 in words is "thirty-one billion, six hundred seven million, five hundred sixty-four thousand, seven hundred four".