379162617120 has 576 divisors, whose sum is σ = 1581929346816. Its totient is φ = 80723312640.

The previous prime is 379162617101. The next prime is 379162617139. The reversal of 379162617120 is 21716261973.

379162617120 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 6 + 2 + 617 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (379162617101) and next prime (379162617139).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16610515 + ... + 16633325.

It is an arithmetic number, because the mean of its divisors is an integer number (2746405116).

Almost surely, 2^379162617120 is an apocalyptic number.

379162617120 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 379162617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790964673408).

379162617120 is an abundant number, since it is smaller than the sum of its proper divisors (1202766729696).

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

379162617120 is a wasteful number, since it uses less digits than its factorization.

379162617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22953 (or 22942 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 379162617120 in words is "three hundred seventy-nine billion, one hundred sixty-two million, six hundred seventeen thousand, one hundred twenty".