379662777521280 has 1024 divisors, whose sum is σ = 1493724337459200. Its totient is φ = 90365829120000.

The previous prime is 379662777521273. The next prime is 379662777521299. The reversal of 379662777521280 is 82125777266973.

379662777521280 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 6 + 2 + 7 + 77 + 521 + 28 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 379662777521199 and 379662777521208.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3252400515 + ... + 3252517245.

It is an arithmetic number, because the mean of its divisors is an integer number (1458715173300).

Almost surely, 2^{379662777521280} is an apocalyptic number.

379662777521280 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 379662777521280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746862168729600).

379662777521280 is an abundant number, since it is smaller than the sum of its proper divisors (1114061559937920).

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

379662777521280 is a wasteful number, since it uses less digits than its factorization.

379662777521280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117082 (or 117064 counting only the distinct ones).

The product of its (nonzero) digits is 746807040, while the sum is 72.

The spelling of 379662777521280 in words is "three hundred seventy-nine trillion, six hundred sixty-two billion, seven hundred seventy-seven million, five hundred twenty-one thousand, two hundred eighty".