810664001280 has 1152 divisors, whose sum is σ = 3402053222400. Its totient is φ = 178958647296.

The previous prime is 810664001269. The next prime is 810664001377. The reversal of 810664001280 is 82100466018.

810664001280 is a `hidden beast` number, since 8 + 1 + 0 + 6 + 640 + 0 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×810664001280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 943729491 + ... + 943730349.

It is an arithmetic number, because the mean of its divisors is an integer number (2953171200).

Almost surely, 2^810664001280 is an apocalyptic number.

810664001280 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 810664001280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701026611200).

810664001280 is an abundant number, since it is smaller than the sum of its proper divisors (2591389221120).

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

810664001280 is a wasteful number, since it uses less digits than its factorization.

810664001280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 810664001280 its reverse (82100466018), we get a palindrome (892764467298).

The spelling of 810664001280 in words is "eight hundred ten billion, six hundred sixty-four million, one thousand, two hundred eighty".