378416625537600 has 1512 divisors, whose sum is σ = 1503720407734272. Its totient is φ = 90158203699200.

The previous prime is 378416625537557. The next prime is 378416625537611. The reversal of 378416625537600 is 6735526614873.

378416625537600 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 1 + 6 + 6 + 2 + 553 + 76 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 12671740269 + ... + 12671770131.

Almost surely, 2^{378416625537600} is an apocalyptic number.

378416625537600 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 378416625537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751860203867136).

378416625537600 is an abundant number, since it is smaller than the sum of its proper divisors (1125303782196672).

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

378416625537600 is a wasteful number, since it uses less digits than its factorization.

378416625537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30085 (or 30054 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 378416625537600 in words is "three hundred seventy-eight trillion, four hundred sixteen billion, six hundred twenty-five million, five hundred thirty-seven thousand, six hundred".