360880337897856 has 1536 divisors, whose sum is σ = 1307623260902400. Its totient is φ = 93233791107072.

The previous prime is 360880337897797. The next prime is 360880337897857. The reversal of 360880337897856 is 658798733088063.

360880337897856 is a `hidden beast` number, since 3 + 6 + 0 + 8 + 80 + 3 + 378 + 97 + 85 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (360880337897857) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 97614371400 + ... + 97614375096.

It is an arithmetic number, because the mean of its divisors is an integer number (851317227150).

Almost surely, 2^{360880337897856} is an apocalyptic number.

360880337897856 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 360880337897856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653811630451200).

360880337897856 is an abundant number, since it is smaller than the sum of its proper divisors (946742923004544).

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

360880337897856 is a wasteful number, since it uses less digits than its factorization.

360880337897856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4104 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 360880337897856 in words is "three hundred sixty trillion, eight hundred eighty billion, three hundred thirty-seven million, eight hundred ninety-seven thousand, eight hundred fifty-six".