379711978560 has 336 divisors, whose sum is σ = 1331952201216. Its totient is φ = 99268263936.

The previous prime is 379711978543. The next prime is 379711978561. The reversal of 379711978560 is 65879117973.

379711978560 is a `hidden beast` number, since 379 + 71 + 197 + 8 + 5 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (379711978561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29885169 + ... + 29897871.

It is an arithmetic number, because the mean of its divisors is an integer number (3964143456).

Almost surely, 2^379711978560 is an apocalyptic number.

379711978560 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 379711978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665976100608).

379711978560 is an abundant number, since it is smaller than the sum of its proper divisors (952240222656).

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

379711978560 is a wasteful number, since it uses less digits than its factorization.

379711978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12930 (or 12917 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 379711978560 in words is "three hundred seventy-nine billion, seven hundred eleven million, nine hundred seventy-eight thousand, five hundred sixty".