810424990080 has 576 divisors, whose sum is σ = 3015109824480. Its totient is φ = 200506736640.

The previous prime is 810424990043. The next prime is 810424990121. The reversal of 810424990080 is 80099424018.

810424990080 is a `hidden beast` number, since 81 + 0 + 4 + 2 + 499 + 0 + 0 + 80 = 666.

810424990080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 118186012 + ... + 118192868.

Almost surely, 2^810424990080 is an apocalyptic number.

810424990080 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 810424990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507554912240).

810424990080 is an abundant number, since it is smaller than the sum of its proper divisors (2204684834400).

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

810424990080 is a wasteful number, since it uses less digits than its factorization.

810424990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6987 (or 6955 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 810424990080 in words is "eight hundred ten billion, four hundred twenty-four million, nine hundred ninety thousand, eighty".