361477831680 has 880 divisors, whose sum is σ = 1516985781696. Its totient is φ = 80581754880.

The previous prime is 361477831679. The next prime is 361477831697. The reversal of 361477831680 is 86138774163.

361477831680 is a `hidden beast` number, since 3 + 6 + 1 + 477 + 8 + 3 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119023122 + ... + 119026158.

Almost surely, 2^361477831680 is an apocalyptic number.

361477831680 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 361477831680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758492890848).

361477831680 is an abundant number, since it is smaller than the sum of its proper divisors (1155507950016).

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

361477831680 is a wasteful number, since it uses less digits than its factorization.

361477831680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122 (or 3095 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 361477831680 in words is "three hundred sixty-one billion, four hundred seventy-seven million, eight hundred thirty-one thousand, six hundred eighty".