681827642496 has 1536 divisors, whose sum is σ = 2784421785600. Its totient is φ = 160347340800.

The previous prime is 681827642453. The next prime is 681827642533. The reversal of 681827642496 is 694246728186.

681827642496 is a `hidden beast` number, since 6 + 8 + 1 + 82 + 7 + 64 + 2 + 496 = 666.

It is a super-2 number, since 2×681827642496² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1899241165 + ... + 1899241523.

It is an arithmetic number, because the mean of its divisors is an integer number (1812774600).

Almost surely, 2^681827642496 is an apocalyptic number.

681827642496 is a gapful number since it is divisible by the number (66) 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 681827642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392210892800).

681827642496 is an abundant number, since it is smaller than the sum of its proper divisors (2102594143104).

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

681827642496 is a wasteful number, since it uses less digits than its factorization.

681827642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 681827642496 in words is "six hundred eighty-one billion, eight hundred twenty-seven million, six hundred forty-two thousand, four hundred ninety-six".