681896418192 has 320 divisors, whose sum is σ = 2256434150400. Its totient is φ = 194991390720.

The previous prime is 681896418179. The next prime is 681896418199. The reversal of 681896418192 is 291814698186.

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

It is not an unprimeable number, because it can be changed into a prime (681896418199) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23189323 + ... + 23218709.

It is an arithmetic number, because the mean of its divisors is an integer number (7051356720).

Almost surely, 2^681896418192 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 681896418192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128217075200).

681896418192 is an abundant number, since it is smaller than the sum of its proper divisors (1574537732208).

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

681896418192 is a wasteful number, since it uses less digits than its factorization.

681896418192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29691 (or 29679 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 63.

The spelling of 681896418192 in words is "six hundred eighty-one billion, eight hundred ninety-six million, four hundred eighteen thousand, one hundred ninety-two".