379952252064 has 480 divisors, whose sum is σ = 1395191952000. Its totient is φ = 98544936960.

The previous prime is 379952252051. The next prime is 379952252077. The reversal of 379952252064 is 460252259973.

379952252064 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 52 + 2 + 520 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (379952252051) and next prime (379952252077).

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

It is a self number, because there is not a number n which added to its sum of digits gives 379952252064.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 245287962 + ... + 245289510.

It is an arithmetic number, because the mean of its divisors is an integer number (2906649900).

Almost surely, 2^379952252064 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 379952252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697595976000).

379952252064 is an abundant number, since it is smaller than the sum of its proper divisors (1015239699936).

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

379952252064 is a wasteful number, since it uses less digits than its factorization.

379952252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 379952252064 in words is "three hundred seventy-nine billion, nine hundred fifty-two million, two hundred fifty-two thousand, sixty-four".