377807776416 has 1296 divisors, whose sum is σ = 1425371665536. Its totient is φ = 98071658496.

The previous prime is 377807776373. The next prime is 377807776427. The reversal of 377807776416 is 614677708773.

377807776416 is a `hidden beast` number, since 3 + 7 + 7 + 80 + 77 + 76 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5175448956 + ... + 5175449028.

It is an arithmetic number, because the mean of its divisors is an integer number (1099823816).

Almost surely, 2^377807776416 is an apocalyptic number.

377807776416 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 377807776416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712685832768).

377807776416 is an abundant number, since it is smaller than the sum of its proper divisors (1047563889120).

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

377807776416 is a wasteful number, since it uses less digits than its factorization.

377807776416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 58084992, while the sum is 63.

The spelling of 377807776416 in words is "three hundred seventy-seven billion, eight hundred seven million, seven hundred seventy-six thousand, four hundred sixteen".