379694760480 has 576 divisors, whose sum is σ = 1533613326336. Its totient is φ = 83711232000.

The previous prime is 379694760463. The next prime is 379694760491. The reversal of 379694760480 is 84067496973.

379694760480 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 94 + 7 + 60 + 480 = 666.

It is a super-2 number, since 2×379694760480² (a number of 24 digits) contains 22 as substring.

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

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, 103429045 + ... + 103432715.

It is an arithmetic number, because the mean of its divisors is an integer number (2662523136).

Almost surely, 2^379694760480 is an apocalyptic number.

379694760480 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 379694760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766806663168).

379694760480 is an abundant number, since it is smaller than the sum of its proper divisors (1153918565856).

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

379694760480 is a wasteful number, since it uses less digits than its factorization.

379694760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4061 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 379694760480 in words is "three hundred seventy-nine billion, six hundred ninety-four million, seven hundred sixty thousand, four hundred eighty".