375836782464 has 512 divisors, whose sum is σ = 1307819520000. Its totient is φ = 104753848320.

The previous prime is 375836782457. The next prime is 375836782471. The reversal of 375836782464 is 464287638573.

375836782464 is a `hidden beast` number, since 3 + 7 + 583 + 6 + 7 + 8 + 2 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (375836782457) and next prime (375836782471).

It is a super-2 number, since 2×375836782464² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156662737 + ... + 156665135.

It is an arithmetic number, because the mean of its divisors is an integer number (2554335000).

Almost surely, 2^375836782464 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 375836782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653909760000).

375836782464 is an abundant number, since it is smaller than the sum of its proper divisors (931982737536).

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

375836782464 is a wasteful number, since it uses less digits than its factorization.

375836782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2745 counting only the distinct ones).

The product of its digits is 162570240, while the sum is 63.

The spelling of 375836782464 in words is "three hundred seventy-five billion, eight hundred thirty-six million, seven hundred eighty-two thousand, four hundred sixty-four".