379501574442480 has 640 divisors, whose sum is σ = 1572756480000000. Its totient is φ = 82166359606272.

The previous prime is 379501574442467. The next prime is 379501574442481. The reversal of 379501574442480 is 84244475105973.

379501574442480 is a `hidden beast` number, since 3 + 7 + 9 + 50 + 1 + 574 + 4 + 4 + 2 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379501574442481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2154224641 + ... + 2154400799.

It is an arithmetic number, because the mean of its divisors is an integer number (2457432000000).

Almost surely, 2^{379501574442480} is an apocalyptic number.

379501574442480 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 379501574442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786378240000000).

379501574442480 is an abundant number, since it is smaller than the sum of its proper divisors (1193254905557520).

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

379501574442480 is a wasteful number, since it uses less digits than its factorization.

379501574442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183706 (or 183694 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 379501574442480 in words is "three hundred seventy-nine trillion, five hundred one billion, five hundred seventy-four million, four hundred forty-two thousand, four hundred eighty".