817813164420 has 960 divisors, whose sum is σ = 3116916633600. Its totient is φ = 179233689600.

The previous prime is 817813164419. The next prime is 817813164457. The reversal of 817813164420 is 24461318718.

817813164420 is a `hidden beast` number, since 8 + 1 + 78 + 131 + 6 + 442 + 0 = 666.

817813164420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3393415500 + ... + 3393415740.

It is an arithmetic number, because the mean of its divisors is an integer number (3246788160).

Almost surely, 2^817813164420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817813164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558458316800).

817813164420 is an abundant number, since it is smaller than the sum of its proper divisors (2299103469180).

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

817813164420 is a wasteful number, since it uses less digits than its factorization.

817813164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 817813164420 in words is "eight hundred seventeen billion, eight hundred thirteen million, one hundred sixty-four thousand, four hundred twenty".