7918812620400 has 720 divisors, whose sum is σ = 30296875320320. Its totient is φ = 1759988736000.

The previous prime is 7918812620387. The next prime is 7918812620489. The reversal of 7918812620400 is 40262188197.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7918812620400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85476504 + ... + 85569096.

Almost surely, 2^{7918812620400} 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 7918812620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148437660160).

7918812620400 is an abundant number, since it is smaller than the sum of its proper divisors (22378062699920).

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

7918812620400 is a wasteful number, since it uses less digits than its factorization.

7918812620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92686 (or 92664 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 7918812620400 in words is "seven trillion, nine hundred eighteen billion, eight hundred twelve million, six hundred twenty thousand, four hundred".