7715312640 has 1056 divisors, whose sum is σ = 34275623040. Its totient is φ = 1634992128.

The previous prime is 7715312629. The next prime is 7715312641. The reversal of 7715312640 is 462135177.

It is a happy number.

7715312640 is a `hidden beast` number, since 7 + 7 + 1 + 5 + 3 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 7715312595 and 7715312604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7715312641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115153887 + ... + 115153953.

Almost surely, 2^7715312640 is an apocalyptic number.

7715312640 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 7715312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137811520).

7715312640 is an abundant number, since it is smaller than the sum of its proper divisors (26560310400).

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

7715312640 is a wasteful number, since it uses less digits than its factorization.

7715312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7715312640 is about 87836.8524026220. The cubic root of 7715312640 is about 1975.9889414604.

The spelling of 7715312640 in words is "seven billion, seven hundred fifteen million, three hundred twelve thousand, six hundred forty".