7775609600640 has 512 divisors, whose sum is σ = 29830286131200. Its totient is φ = 1682948358144.

The previous prime is 7775609600581. The next prime is 7775609600687. The reversal of 7775609600640 is 460069065777.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 662142609 + ... + 662154351.

It is an arithmetic number, because the mean of its divisors is an integer number (58262277600).

Almost surely, 2^{7775609600640} is an apocalyptic number.

7775609600640 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 7775609600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14915143065600).

7775609600640 is an abundant number, since it is smaller than the sum of its proper divisors (22054676530560).

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

7775609600640 is a wasteful number, since it uses less digits than its factorization.

7775609600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 14372 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 7775609600640 in words is "seven trillion, seven hundred seventy-five billion, six hundred nine million, six hundred thousand, six hundred forty".