863638364160 has 1792 divisors, whose sum is σ = 3720288337920. Its totient is φ = 187280916480.

The previous prime is 863638364153. The next prime is 863638364191. The reversal of 863638364160 is 61463836368.

863638364160 is a `hidden beast` number, since 8 + 63 + 63 + 8 + 364 + 160 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a junction number, because it is equal to n+sod(n) for n = 863638364097 and 863638364106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6800302017 + ... + 6800302143.

It is an arithmetic number, because the mean of its divisors is an integer number (2076053760).

Almost surely, 2^863638364160 is an apocalyptic number.

863638364160 is a gapful number since it is divisible by the number (80) 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 863638364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860144168960).

863638364160 is an abundant number, since it is smaller than the sum of its proper divisors (2856649973760).

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

863638364160 is a wasteful number, since it uses less digits than its factorization.

863638364160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 863638364160 in words is "eight hundred sixty-three billion, six hundred thirty-eight million, three hundred sixty-four thousand, one hundred sixty".