378125359920 has 1680 divisors, whose sum is σ = 1748766143232. Its totient is φ = 75011650560.

The previous prime is 378125359883. The next prime is 378125359949. The reversal of 378125359920 is 29953521873.

378125359920 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 25 + 3 + 599 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 335 ways as a sum of consecutive naturals, for example, 722992779 + ... + 722993301.

Almost surely, 2^378125359920 is an apocalyptic number.

378125359920 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 378125359920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874383071616).

378125359920 is an abundant number, since it is smaller than the sum of its proper divisors (1370640783312).

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

378125359920 is a wasteful number, since it uses less digits than its factorization.

378125359920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 378125359920 in words is "three hundred seventy-eight billion, one hundred twenty-five million, three hundred fifty-nine thousand, nine hundred twenty".