377282046960 has 960 divisors, whose sum is σ = 1686078750720. Its totient is φ = 73365626880.

The previous prime is 377282046907. The next prime is 377282046971. The reversal of 377282046960 is 69640282773.

377282046960 is a `hidden beast` number, since 37 + 72 + 8 + 20 + 469 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 377282046897 and 377282046906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46056465 + ... + 46064655.

It is an arithmetic number, because the mean of its divisors is an integer number (1756332032).

Almost surely, 2^377282046960 is an apocalyptic number.

377282046960 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 377282046960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843039375360).

377282046960 is an abundant number, since it is smaller than the sum of its proper divisors (1308796703760).

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

377282046960 is a wasteful number, since it uses less digits than its factorization.

377282046960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8286 (or 8277 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 377282046960 in words is "three hundred seventy-seven billion, two hundred eighty-two million, forty-six thousand, nine hundred sixty".