376007636400 has 480 divisors, whose sum is σ = 1387297754880. Its totient is φ = 86335027200.

The previous prime is 376007636377. The next prime is 376007636423. The reversal of 376007636400 is 4636700673.

It is an interprime number because it is at equal distance from previous prime (376007636377) and next prime (376007636423).

It is a super-2 number, since 2×376007636400² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90536724 + ... + 90540876.

It is an arithmetic number, because the mean of its divisors is an integer number (2890203656).

Almost surely, 2^376007636400 is an apocalyptic number.

376007636400 is a gapful number since it is divisible by the number (30) 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 376007636400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693648877440).

376007636400 is an abundant number, since it is smaller than the sum of its proper divisors (1011290118480).

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

376007636400 is a wasteful number, since it uses less digits than its factorization.

376007636400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4193 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 376007636400 in words is "three hundred seventy-six billion, seven million, six hundred thirty-six thousand, four hundred".