379651680815616 has 960 divisors, whose sum is σ = 1278679290894720. Its totient is φ = 107354945617920.

The previous prime is 379651680815609. The next prime is 379651680815711. The reversal of 379651680815616 is 616518086156973.

It is a happy number.

379651680815616 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 51 + 6 + 8 + 0 + 8 + 1 + 561 + 6 = 666.

It is a super-2 number, since 2×379651680815616² (a number of 30 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5219763186 + ... + 5219835918.

It is an arithmetic number, because the mean of its divisors is an integer number (1331957594682).

Almost surely, 2^{379651680815616} is an apocalyptic number.

379651680815616 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 379651680815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639339645447360).

379651680815616 is an abundant number, since it is smaller than the sum of its proper divisors (899027610079104).

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

379651680815616 is a wasteful number, since it uses less digits than its factorization.

379651680815616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72917 (or 72898 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 379651680815616 in words is "three hundred seventy-nine trillion, six hundred fifty-one billion, six hundred eighty million, eight hundred fifteen thousand, six hundred sixteen".