377397879768 has 384 divisors, whose sum is σ = 1322746588800. Its totient is φ = 94522982400.

The previous prime is 377397879731. The next prime is 377397879791. The reversal of 377397879768 is 867978793773.

377397879768 is a `hidden beast` number, since 3 + 7 + 7 + 397 + 87 + 97 + 68 = 666.

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 11574208 + ... + 11606768.

It is an arithmetic number, because the mean of its divisors is an integer number (3444652575).

Almost surely, 2^377397879768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 377397879768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661373294400).

377397879768 is an abundant number, since it is smaller than the sum of its proper divisors (945348709032).

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

377397879768 is a wasteful number, since it uses less digits than its factorization.

377397879768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32683 (or 32676 counting only the distinct ones).

The product of its digits is 4704884352, while the sum is 81.

The spelling of 377397879768 in words is "three hundred seventy-seven billion, three hundred ninety-seven million, eight hundred seventy-nine thousand, seven hundred sixty-eight".