810069422400 has 672 divisors, whose sum is σ = 3389639834880. Its totient is φ = 184348016640.

The previous prime is 810069422389. The next prime is 810069422413. The reversal of 810069422400 is 4224960018.

810069422400 is digitally balanced in base 2 and base 4, because in such bases 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 (672).

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 95 ways as a sum of consecutive naturals, for example, 70453452 + ... + 70464948.

Almost surely, 2^810069422400 is an apocalyptic number.

810069422400 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 810069422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694819917440).

810069422400 is an abundant number, since it is smaller than the sum of its proper divisors (2579570412480).

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

810069422400 is a wasteful number, since it uses less digits than its factorization.

810069422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11768 (or 11747 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 810069422400 in words is "eight hundred ten billion, sixty-nine million, four hundred twenty-two thousand, four hundred".