817677473040 has 480 divisors, whose sum is σ = 2909269509120. Its totient is φ = 205390209024.

The previous prime is 817677473027. The next prime is 817677473051. The reversal of 817677473040 is 40374776718.

It is a happy 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, 807183574 + ... + 807184586.

It is an arithmetic number, because the mean of its divisors is an integer number (6060978144).

Almost surely, 2^817677473040 is an apocalyptic number.

817677473040 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 817677473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454634754560).

817677473040 is an abundant number, since it is smaller than the sum of its proper divisors (2091592036080).

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

817677473040 is a wasteful number, since it uses less digits than its factorization.

817677473040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

The spelling of 817677473040 in words is "eight hundred seventeen billion, six hundred seventy-seven million, four hundred seventy-three thousand, forty".