379721998656 has 1008 divisors, whose sum is σ = 1537686373440. Its totient is φ = 91010304000.

The previous prime is 379721998651. The next prime is 379721998657. The reversal of 379721998656 is 656899127973.

379721998656 is a `hidden beast` number, since 379 + 7 + 2 + 199 + 8 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 (379721998651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133187631 + ... + 133190481.

Almost surely, 2^379721998656 is an apocalyptic number.

379721998656 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 379721998656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768843186720).

379721998656 is an abundant number, since it is smaller than the sum of its proper divisors (1157964374784).

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

379721998656 is a wasteful number, since it uses less digits than its factorization.

379721998656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2887 counting only the distinct ones).

The product of its digits is 308629440, while the sum is 72.

The spelling of 379721998656 in words is "three hundred seventy-nine billion, seven hundred twenty-one million, nine hundred ninety-eight thousand, six hundred fifty-six".