7164496560 has 160 divisors (see below), whose sum is σ = 24033961728. Its totient is φ = 1755048960.

The previous prime is 7164496531. The next prime is 7164496567. The reversal of 7164496560 is 656944617.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (7164496567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 652879 + ... + 663761.

Almost surely, 2^7164496560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7164496560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12016980864).

7164496560 is an abundant number, since it is smaller than the sum of its proper divisors (16869465168).

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

7164496560 is a wasteful number, since it uses less digits than its factorization.

7164496560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11123 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 7164496560 is about 84643.3491775934. The cubic root of 7164496560 is about 1927.7996311001.

The spelling of 7164496560 in words is "seven billion, one hundred sixty-four million, four hundred ninety-six thousand, five hundred sixty".