379972809216 has 1440 divisors, whose sum is σ = 1542478025088. Its totient is φ = 90296156160.

The previous prime is 379972809187. The next prime is 379972809221. The reversal of 379972809216 is 612908279973.

379972809216 is a `hidden beast` number, since 379 + 97 + 2 + 80 + 92 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3362591176 + ... + 3362591288.

Almost surely, 2^379972809216 is an apocalyptic number.

379972809216 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 379972809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771239012544).

379972809216 is an abundant number, since it is smaller than the sum of its proper divisors (1162505215872).

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

379972809216 is an equidigital number, since it uses as much as digits as its factorization.

379972809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 379972809216 in words is "three hundred seventy-nine billion, nine hundred seventy-two million, eight hundred nine thousand, two hundred sixteen".