379642306302720 has 360 divisors, whose sum is σ = 1358921563669824. Its totient is φ = 101201284251648.

The previous prime is 379642306302697. The next prime is 379642306302737. The reversal of 379642306302720 is 27203603246973.

379642306302720 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 4 + 2 + 306 + 302 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286220892 + ... + 287544228.

Almost surely, 2^{379642306302720} is an apocalyptic number.

379642306302720 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 379642306302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679460781834912).

379642306302720 is an abundant number, since it is smaller than the sum of its proper divisors (979279257367104).

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

379642306302720 is a wasteful number, since it uses less digits than its factorization.

379642306302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326137 (or 1326114 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 54.

The spelling of 379642306302720 in words is "three hundred seventy-nine trillion, six hundred forty-two billion, three hundred six million, three hundred two thousand, seven hundred twenty".