7277688864 has 192 divisors, whose sum is σ = 22653590400. Its totient is φ = 2266361856.

The previous prime is 7277688857. The next prime is 7277688871. The reversal of 7277688864 is 4688867727.

It is an interprime number because it is at equal distance from previous prime (7277688857) and next prime (7277688871).

It is a super-2 number, since 2×7277688864² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1195332 + ... + 1201404.

It is an arithmetic number, because the mean of its divisors is an integer number (117987450).

Almost surely, 2^7277688864 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 7277688864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11326795200).

7277688864 is an abundant number, since it is smaller than the sum of its proper divisors (15375901536).

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

7277688864 is a wasteful number, since it uses less digits than its factorization.

7277688864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6184 (or 6170 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The square root of 7277688864 is about 85309.3714898897. The cubic root of 7277688864 is about 1937.8991023778.

The spelling of 7277688864 in words is "seven billion, two hundred seventy-seven million, six hundred eighty-eight thousand, eight hundred sixty-four".