7565120640 has 768 divisors, whose sum is σ = 33522128640. Its totient is φ = 1526169600.

The previous prime is 7565120639. The next prime is 7565120663. The reversal of 7565120640 is 460215657.

It is a happy number.

7565120640 is a `hidden beast` number, since 7 + 5 + 6 + 5 + 1 + 2 + 0 + 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 = 7565120595 and 7565120604.

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 95 ways as a sum of consecutive naturals, for example, 16410010 + ... + 16410470.

It is an arithmetic number, because the mean of its divisors is an integer number (43648605).

Almost surely, 2^7565120640 is an apocalyptic number.

7565120640 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 7565120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16761064320).

7565120640 is an abundant number, since it is smaller than the sum of its proper divisors (25957008000).

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

7565120640 is a wasteful number, since it uses less digits than its factorization.

7565120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7565120640 is about 86977.7019701027. The cubic root of 7565120640 is about 1963.0828065535.

The spelling of 7565120640 in words is "seven billion, five hundred sixty-five million, one hundred twenty thousand, six hundred forty".