31097364480 has 1120 divisors, whose sum is σ = 138541987584. Its totient is φ = 6497501184.

The previous prime is 31097364449. The next prime is 31097364481. The reversal of 31097364480 is 8446379013.

31097364480 is a `hidden beast` number, since 3 + 109 + 7 + 3 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 (31097364481) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301916109 + ... + 301916211.

Almost surely, 2^31097364480 is an apocalyptic number.

31097364480 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 31097364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69270993792).

31097364480 is an abundant number, since it is smaller than the sum of its proper divisors (107444623104).

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

31097364480 is a wasteful number, since it uses less digits than its factorization.

31097364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31097364480 in words is "thirty-one billion, ninety-seven million, three hundred sixty-four thousand, four hundred eighty".