379793984036544 has 672 divisors, whose sum is σ = 1401083614554624. Its totient is φ = 95500912066560.

The previous prime is 379793984036503. The next prime is 379793984036581. The reversal of 379793984036544 is 445630489397973.

379793984036544 is a `hidden beast` number, since 3 + 7 + 9 + 7 + 9 + 39 + 8 + 4 + 0 + 36 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 214625202 + ... + 216387534.

It is an arithmetic number, because the mean of its divisors is an integer number (2084945854992).

Almost surely, 2^{379793984036544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379793984036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700541807277312).

379793984036544 is an abundant number, since it is smaller than the sum of its proper divisors (1021289630518080).

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

379793984036544 is a wasteful number, since it uses less digits than its factorization.

379793984036544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762525 (or 1762512 counting only the distinct ones).

The product of its (nonzero) digits is 14814213120, while the sum is 81.

The spelling of 379793984036544 in words is "three hundred seventy-nine trillion, seven hundred ninety-three billion, nine hundred eighty-four million, thirty-six thousand, five hundred forty-four".