7660816818400 has 72 divisors (see below), whose sum is σ = 19207427755320. Its totient is φ = 2981507074560.

The previous prime is 7660816818379. The next prime is 7660816818407. The reversal of 7660816818400 is 48186180667.

It is a happy number.

It is a super-2 number, since 2×7660816818400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7660816818407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129376090 + ... + 129435289.

It is an arithmetic number, because the mean of its divisors is an integer number (266769829935).

Almost surely, 2^{7660816818400} is an apocalyptic number.

It is an amenable number.

7660816818400 is an abundant number, since it is smaller than the sum of its proper divisors (11546610936920).

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

7660816818400 is a wasteful number, since it uses less digits than its factorization.

7660816818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258811436 (or 258811423 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 7660816818400 in words is "seven trillion, six hundred sixty billion, eight hundred sixteen million, eight hundred eighteen thousand, four hundred".