7160405664 has 96 divisors (see below), whose sum is σ = 20064360960. Its totient is φ = 2229292800.

The previous prime is 7160405633. The next prime is 7160405671. The reversal of 7160405664 is 4665040617.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101859 + ... + 157149.

It is an arithmetic number, because the mean of its divisors is an integer number (209003760).

Almost surely, 2^7160405664 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 7160405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032180480).

7160405664 is an abundant number, since it is smaller than the sum of its proper divisors (12903955296).

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

7160405664 is a wasteful number, since it uses less digits than its factorization.

7160405664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55394 (or 55386 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 7160405664 is about 84619.1802371070. The cubic root of 7160405664 is about 1927.4326395398.

The spelling of 7160405664 in words is "seven billion, one hundred sixty million, four hundred five thousand, six hundred sixty-four".