7931864160 has 288 divisors, whose sum is σ = 30015891360. Its totient is φ = 1891123200.

The previous prime is 7931864117. The next prime is 7931864167. The reversal of 7931864160 is 614681397.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7931864167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962136 + ... + 970344.

It is an arithmetic number, because the mean of its divisors is an integer number (104221845).

Almost surely, 2^7931864160 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 7931864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15007945680).

7931864160 is an abundant number, since it is smaller than the sum of its proper divisors (22084027200).

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

7931864160 is a wasteful number, since it uses less digits than its factorization.

7931864160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8291 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7931864160 is about 89061.0136928611. The cubic root of 7931864160 is about 1994.3058168581.

The spelling of 7931864160 in words is "seven billion, nine hundred thirty-one million, eight hundred sixty-four thousand, one hundred sixty".