377443880364096 has 2688 divisors, whose sum is σ = 1533738517032960. Its totient is φ = 88316663758848.

The previous prime is 377443880364073. The next prime is 377443880364127. The reversal of 377443880364096 is 690463088344773.

377443880364096 is a `hidden beast` number, since 3 + 7 + 74 + 4 + 38 + 80 + 364 + 0 + 96 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 219062030691 + ... + 219062032413.

It is an arithmetic number, because the mean of its divisors is an integer number (570587245920).

Almost surely, 2^{377443880364096} is an apocalyptic number.

377443880364096 is a gapful number since it is divisible by the number (36) 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 377443880364096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766869258516480).

377443880364096 is an abundant number, since it is smaller than the sum of its proper divisors (1156294636668864).

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

377443880364096 is a wasteful number, since it uses less digits than its factorization.

377443880364096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 1755758592, while the sum is 72.

The spelling of 377443880364096 in words is "three hundred seventy-seven trillion, four hundred forty-three billion, eight hundred eighty million, three hundred sixty-four thousand, ninety-six".