379215694642176 has 2640 divisors, whose sum is σ = 1393509730314240. Its totient is φ = 102287151267840.

The previous prime is 379215694642153. The next prime is 379215694642177. The reversal of 379215694642176 is 671246496512973.

379215694642176 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 1 + 569 + 4 + 6 + 42 + 17 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379215694642177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1409723771770 + ... + 1409723772038.

It is an arithmetic number, because the mean of its divisors is an integer number (527844594816).

Almost surely, 2^{379215694642176} is an apocalyptic number.

379215694642176 is a gapful number since it is divisible by the number (36) 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 379215694642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696754865157120).

379215694642176 is an abundant number, since it is smaller than the sum of its proper divisors (1014294035672064).

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

379215694642176 is a wasteful number, since it uses less digits than its factorization.

379215694642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 546 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 379215694642176 in words is "three hundred seventy-nine trillion, two hundred fifteen billion, six hundred ninety-four million, six hundred forty-two thousand, one hundred seventy-six".