378462736800 has 1152 divisors, whose sum is σ = 1497279168000. Its totient is φ = 91968307200.

The previous prime is 378462736787. The next prime is 378462736837. The reversal of 378462736800 is 8637264873.

378462736800 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 627 + 3 + 6 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×378462736800² (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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1570384680 + ... + 1570384920.

It is an arithmetic number, because the mean of its divisors is an integer number (1299721500).

Almost surely, 2^378462736800 is an apocalyptic number.

378462736800 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 378462736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748639584000).

378462736800 is an abundant number, since it is smaller than the sum of its proper divisors (1118816431200).

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

378462736800 is a wasteful number, since it uses less digits than its factorization.

378462736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 378462736800 in words is "three hundred seventy-eight billion, four hundred sixty-two million, seven hundred thirty-six thousand, eight hundred".