361474877836800 has 5760 divisors, whose sum is σ = 1714353024384000. Its totient is φ = 74935776706560.

The previous prime is 361474877836771. The next prime is 361474877836837. The reversal of 361474877836800 is 8638778474163.

361474877836800 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 7 + 487 + 7 + 83 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 929241331006 + ... + 929241331394.

It is an arithmetic number, because the mean of its divisors is an integer number (297630733400).

Almost surely, 2^{361474877836800} is an apocalyptic number.

361474877836800 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 361474877836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857176512192000).

361474877836800 is an abundant number, since it is smaller than the sum of its proper divisors (1352878146547200).

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

361474877836800 is an equidigital number, since it uses as much as digits as its factorization.

361474877836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 361474877836800 in words is "three hundred sixty-one trillion, four hundred seventy-four billion, eight hundred seventy-seven million, eight hundred thirty-six thousand, eight hundred".