810104964480 has 768 divisors, whose sum is σ = 3278432102400. Its totient is φ = 180484816896.

The previous prime is 810104964443. The next prime is 810104964503. The reversal of 810104964480 is 84469401018.

810104964480 is a `hidden beast` number, since 8 + 1 + 0 + 104 + 9 + 64 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 555245991 + ... + 555247449.

It is an arithmetic number, because the mean of its divisors is an integer number (4268791800).

Almost surely, 2^810104964480 is an apocalyptic number.

810104964480 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 810104964480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639216051200).

810104964480 is an abundant number, since it is smaller than the sum of its proper divisors (2468327137920).

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

810104964480 is a wasteful number, since it uses less digits than its factorization.

810104964480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 810104964480 in words is "eight hundred ten billion, one hundred four million, nine hundred sixty-four thousand, four hundred eighty".