7811964160 has 648 divisors, whose sum is σ = 26096859936. Its totient is φ = 2214051840.

The previous prime is 7811964143. The next prime is 7811964211. The reversal of 7811964160 is 614691187.

It is a super-2 number, since 2×7811964160² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116596447 + ... + 116596513.

It is an arithmetic number, because the mean of its divisors is an integer number (40272932).

Almost surely, 2^7811964160 is an apocalyptic number.

7811964160 is a gapful number since it is divisible by the number (70) 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 7811964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13048429968).

7811964160 is an abundant number, since it is smaller than the sum of its proper divisors (18284895776).

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

7811964160 is a wasteful number, since it uses less digits than its factorization.

7811964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 43.

The square root of 7811964160 is about 88385.3164275605. The cubic root of 7811964160 is about 1984.2059489641.

The spelling of 7811964160 in words is "seven billion, eight hundred eleven million, nine hundred sixty-four thousand, one hundred sixty".