7871694566400 has 1584 divisors, whose sum is σ = 34226208132480. Its totient is φ = 1754962329600.

The previous prime is 7871694566371. The next prime is 7871694566413. The reversal of 7871694566400 is 46654961787.

It is a happy number.

7871694566400 is a `hidden beast` number, since 7 + 8 + 7 + 1 + 69 + 4 + 566 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1785367396 + ... + 1785371804.

Almost surely, 2^{7871694566400} is an apocalyptic number.

7871694566400 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 7871694566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113104066240).

7871694566400 is an abundant number, since it is smaller than the sum of its proper divisors (26354513566080).

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

7871694566400 is a wasteful number, since it uses less digits than its factorization.

7871694566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4467 counting only the distinct ones).

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

The spelling of 7871694566400 in words is "seven trillion, eight hundred seventy-one billion, six hundred ninety-four million, five hundred sixty-six thousand, four hundred".