810133797118464 has 2560 divisors, whose sum is σ = 3244176359424000. Its totient is φ = 197768647802880.

The previous prime is 810133797118423. The next prime is 810133797118501. The reversal of 810133797118464 is 464811797331018.

It is a happy number.

810133797118464 is a `hidden beast` number, since 8 + 1 + 0 + 1 + 33 + 79 + 71 + 1 + 8 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 43950177792 + ... + 43950196224.

It is an arithmetic number, because the mean of its divisors is an integer number (1267256390400).

Almost surely, 2^{810133797118464} is an apocalyptic number.

810133797118464 is a gapful number since it is divisible by the number (84) 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 810133797118464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622088179712000).

810133797118464 is an abundant number, since it is smaller than the sum of its proper divisors (2434042562305536).

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

810133797118464 is a wasteful number, since it uses less digits than its factorization.

810133797118464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18548 (or 18512 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 810133797118464 in words is "eight hundred ten trillion, one hundred thirty-three billion, seven hundred ninety-seven million, one hundred eighteen thousand, four hundred sixty-four".