7890875366400 has 2640 divisors, whose sum is σ = 33946426727136. Its totient is φ = 1793819934720.

The previous prime is 7890875366389. The next prime is 7890875366459. The reversal of 7890875366400 is 46635780987.

7890875366400 is a `hidden beast` number, since 7 + 8 + 90 + 8 + 7 + 536 + 6 + 4 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 30703795072 + ... + 30703795328.

Almost surely, 2^{7890875366400} 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 7890875366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16973213363568).

7890875366400 is an abundant number, since it is smaller than the sum of its proper divisors (26055551360736).

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

7890875366400 is a wasteful number, since it uses less digits than its factorization.

7890875366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 7890875366400 in words is "seven trillion, eight hundred ninety billion, eight hundred seventy-five million, three hundred sixty-six thousand, four hundred".