869014768320 has 224 divisors, whose sum is σ = 3100139697600. Its totient is φ = 229133279232.

The previous prime is 869014768319. The next prime is 869014768327. The reversal of 869014768320 is 23867410968.

869014768320 is a `hidden beast` number, since 8 + 6 + 90 + 1 + 476 + 83 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (869014768327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203902 + ... + 1334018.

Almost surely, 2^869014768320 is an apocalyptic number.

869014768320 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 869014768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1550069848800).

869014768320 is an abundant number, since it is smaller than the sum of its proper divisors (2231124929280).

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

869014768320 is a wasteful number, since it uses less digits than its factorization.

869014768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130232 (or 1130216 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 869014768320 in words is "eight hundred sixty-nine billion, fourteen million, seven hundred sixty-eight thousand, three hundred twenty".