378363627677952 has 2592 divisors, whose sum is σ = 1443434463717120. Its totient is φ = 95675704934400.

The previous prime is 378363627677929. The next prime is 378363627678079. The reversal of 378363627677952 is 259776726363873.

378363627677952 is a `hidden beast` number, since 3 + 7 + 8 + 36 + 362 + 76 + 77 + 95 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 497192677252 + ... + 497192678012.

Almost surely, 2^{378363627677952} is an apocalyptic number.

378363627677952 is a gapful number since it is divisible by the number (32) 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 378363627677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721717231858560).

378363627677952 is an abundant number, since it is smaller than the sum of its proper divisors (1065070836039168).

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

378363627677952 is a wasteful number, since it uses less digits than its factorization.

378363627677952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 858 counting only the distinct ones).

The product of its digits is 20163790080, while the sum is 81.

The spelling of 378363627677952 in words is "three hundred seventy-eight trillion, three hundred sixty-three billion, six hundred twenty-seven million, six hundred seventy-seven thousand, nine hundred fifty-two".