377984517120 has 2464 divisors, whose sum is σ = 1762976752128. Its totient is φ = 75676778496.

The previous prime is 377984517041. The next prime is 377984517133. The reversal of 377984517120 is 21715489773.

377984517120 is a `hidden beast` number, since 37 + 7 + 9 + 84 + 517 + 12 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 10215797742 + ... + 10215797778.

Almost surely, 2^377984517120 is an apocalyptic number.

377984517120 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 377984517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881488376064).

377984517120 is an abundant number, since it is smaller than the sum of its proper divisors (1384992235008).

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

377984517120 is a wasteful number, since it uses less digits than its factorization.

377984517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 377984517120 in words is "three hundred seventy-seven billion, nine hundred eighty-four million, five hundred seventeen thousand, one hundred twenty".