816814817280 has 1632 divisors, whose sum is σ = 3681731961600. Its totient is φ = 168170618880.

The previous prime is 816814817233. The next prime is 816814817309. The reversal of 816814817280 is 82718418618.

816814817280 is a `hidden beast` number, since 8 + 1 + 6 + 81 + 481 + 7 + 2 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7493713866 + ... + 7493713974.

Almost surely, 2^816814817280 is an apocalyptic number.

816814817280 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 816814817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840865980800).

816814817280 is an abundant number, since it is smaller than the sum of its proper divisors (2864917144320).

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

816814817280 is a wasteful number, since it uses less digits than its factorization.

816814817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

816814817280 divided by its product of nonzero digits (1376256) gives a triangular number (593505 = T₁₀₈₉).

The spelling of 816814817280 in words is "eight hundred sixteen billion, eight hundred fourteen million, eight hundred seventeen thousand, two hundred eighty".