379518566400 has 1260 divisors, whose sum is σ = 1492168286784. Its totient is φ = 95551488000.

The previous prime is 379518566347. The next prime is 379518566407. The reversal of 379518566400 is 4665815973.

379518566400 is a `hidden beast` number, since 3 + 79 + 5 + 1 + 8 + 566 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×379518566400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379518566407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9256550380 + ... + 9256550420.

Almost surely, 2^379518566400 is an apocalyptic number.

379518566400 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 379518566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746084143392).

379518566400 is an abundant number, since it is smaller than the sum of its proper divisors (1112649720384).

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

379518566400 is an frugal number, since it uses more digits than its factorization.

379518566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 379518566400 in words is "three hundred seventy-nine billion, five hundred eighteen million, five hundred sixty-six thousand, four hundred".