379627658392320 has 6048 divisors, whose sum is σ = 1708782798945600. Its totient is φ = 80134828720128.

The previous prime is 379627658392319. The next prime is 379627658392343. The reversal of 379627658392320 is 23293856726973.

379627658392320 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 2 + 7 + 6 + 583 + 9 + 2 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1477150421632 + ... + 1477150421888.

It is an arithmetic number, because the mean of its divisors is an integer number (282536838450).

Almost surely, 2^{379627658392320} is an apocalyptic number.

379627658392320 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 379627658392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854391399472800).

379627658392320 is an abundant number, since it is smaller than the sum of its proper divisors (1329155140553280).

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

379627658392320 is a wasteful number, since it uses less digits than its factorization.

379627658392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 379627658392320 in words is "three hundred seventy-nine trillion, six hundred twenty-seven billion, six hundred fifty-eight million, three hundred ninety-two thousand, three hundred twenty".