361788055994880 has 640 divisors, whose sum is σ = 1407616187155200. Its totient is φ = 87670606528512.

The previous prime is 361788055994809. The next prime is 361788055994923. The reversal of 361788055994880 is 88499550887163.

361788055994880 is a `hidden beast` number, since 3 + 6 + 1 + 7 + 8 + 80 + 5 + 59 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 361788055994880.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28767639 + ... + 39384681.

It is an arithmetic number, because the mean of its divisors is an integer number (2199400292430).

Almost surely, 2^{361788055994880} is an apocalyptic number.

361788055994880 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 361788055994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703808093577600).

361788055994880 is an abundant number, since it is smaller than the sum of its proper divisors (1045828131160320).

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

361788055994880 is a wasteful number, since it uses less digits than its factorization.

361788055994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617121 (or 10617099 counting only the distinct ones).

The product of its (nonzero) digits is 4180377600, while the sum is 81.

The spelling of 361788055994880 in words is "three hundred sixty-one trillion, seven hundred eighty-eight billion, fifty-five million, nine hundred ninety-four thousand, eight hundred eighty".