379179630720 has 1536 divisors, whose sum is σ = 1598201280000. Its totient is φ = 81749606400.

The previous prime is 379179630667. The next prime is 379179630799. The reversal of 379179630720 is 27036971973.

It is a happy number.

379179630720 is a `hidden beast` number, since 379 + 179 + 6 + 30 + 72 + 0 = 666.

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, 1905425181 + ... + 1905425379.

It is an arithmetic number, because the mean of its divisors is an integer number (1040495625).

Almost surely, 2^379179630720 is an apocalyptic number.

379179630720 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 379179630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799100640000).

379179630720 is an abundant number, since it is smaller than the sum of its proper divisors (1219021649280).

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

379179630720 is a wasteful number, since it uses less digits than its factorization.

379179630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 379179630720 in words is "three hundred seventy-nine billion, one hundred seventy-nine million, six hundred thirty thousand, seven hundred twenty".