379631780640 has 1152 divisors, whose sum is σ = 1591646112000. Its totient is φ = 84233060352.

The previous prime is 379631780603. The next prime is 379631780659. The reversal of 379631780640 is 46087136973.

379631780640 is a `hidden beast` number, since 379 + 63 + 178 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1411270426 + ... + 1411270694.

It is an arithmetic number, because the mean of its divisors is an integer number (1381637250).

Almost surely, 2^379631780640 is an apocalyptic number.

379631780640 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 379631780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795823056000).

379631780640 is an abundant number, since it is smaller than the sum of its proper divisors (1212014331360).

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

379631780640 is a wasteful number, since it uses less digits than its factorization.

379631780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 379631780640 in words is "three hundred seventy-nine billion, six hundred thirty-one million, seven hundred eighty thousand, six hundred forty".