378661974325200 has 600 divisors, whose sum is σ = 1391037505723008. Its totient is φ = 98604825845760.

The previous prime is 378661974325109. The next prime is 378661974325213. The reversal of 378661974325200 is 2523479166873.

It is a happy number.

378661974325200 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 6 + 1 + 9 + 74 + 32 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 674319744 + ... + 674881056.

It is a 1-persistent number, because it is pandigital, but 2⋅378661974325200 = 757323948650400 is not.

Almost surely, 2^{378661974325200} is an apocalyptic number.

378661974325200 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 378661974325200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695518752861504).

378661974325200 is an abundant number, since it is smaller than the sum of its proper divisors (1012375531397808).

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

378661974325200 is a wasteful number, since it uses less digits than its factorization.

378661974325200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561833 (or 561813 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 378661974325200 in words is "three hundred seventy-eight trillion, six hundred sixty-one billion, nine hundred seventy-four million, three hundred twenty-five thousand, two hundred".