800507463601680 has 320 divisors, whose sum is σ = 2771471703744000. Its totient is φ = 212373195245568.

The previous prime is 800507463601621. The next prime is 800507463601751. The reversal of 800507463601680 is 86106364705008.

800507463601680 is a `hidden beast` number, since 8 + 0 + 0 + 50 + 74 + 6 + 360 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 643894906 + ... + 645136934.

It is an arithmetic number, because the mean of its divisors is an integer number (8660849074200).

Almost surely, 2^{800507463601680} is an apocalyptic number.

800507463601680 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 800507463601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385735851872000).

800507463601680 is an abundant number, since it is smaller than the sum of its proper divisors (1970964240142320).

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

800507463601680 is a wasteful number, since it uses less digits than its factorization.

800507463601680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243583 (or 1243571 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 800507463601680 in words is "eight hundred trillion, five hundred seven billion, four hundred sixty-three million, six hundred one thousand, six hundred eighty".