699374160122400 has 720 divisors, whose sum is σ = 2976853962652416. Its totient is φ = 156455734394880.

The previous prime is 699374160122399. The next prime is 699374160122423. The reversal of 699374160122400 is 4221061473996.

699374160122400 is a `hidden beast` number, since 6 + 9 + 9 + 3 + 7 + 4 + 1 + 601 + 2 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4916752 + ... + 37721648.

Almost surely, 2^{699374160122400} is an apocalyptic number.

699374160122400 is a gapful number since it is divisible by the number (60) 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 699374160122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488426981326208).

699374160122400 is an abundant number, since it is smaller than the sum of its proper divisors (2277479802530016).

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

699374160122400 is a wasteful number, since it uses less digits than its factorization.

699374160122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32804983 (or 32804961 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 699374160122400 in words is "six hundred ninety-nine trillion, three hundred seventy-four billion, one hundred sixty million, one hundred twenty-two thousand, four hundred".