379949967360 has 576 divisors, whose sum is σ = 1439460771840. Its totient is φ = 92272066560.

The previous prime is 379949967349. The next prime is 379949967389. The reversal of 379949967360 is 63769949973.

379949967360 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 499 + 6 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48564409 + ... + 48572231.

It is an arithmetic number, because the mean of its divisors is an integer number (2499063840).

Almost surely, 2^379949967360 is an apocalyptic number.

379949967360 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 379949967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719730385920).

379949967360 is an abundant number, since it is smaller than the sum of its proper divisors (1059510804480).

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

379949967360 is a wasteful number, since it uses less digits than its factorization.

379949967360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7904 (or 7881 counting only the distinct ones).

The product of its (nonzero) digits is 416649744, while the sum is 72.

The spelling of 379949967360 in words is "three hundred seventy-nine billion, nine hundred forty-nine million, nine hundred sixty-seven thousand, three hundred sixty".