681927966720 has 2448 divisors, whose sum is σ = 3338661483360. Its totient is φ = 130799370240.

The previous prime is 681927966703. The next prime is 681927966737. The reversal of 681927966720 is 27669729186.

It is an interprime number because it is at equal distance from previous prime (681927966703) and next prime (681927966737).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 52455997434 + ... + 52455997446.

Almost surely, 2^681927966720 is an apocalyptic number.

681927966720 is a gapful number since it is divisible by the number (60) 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 681927966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669330741680).

681927966720 is an abundant number, since it is smaller than the sum of its proper divisors (2656733516640).

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

681927966720 is a wasteful number, since it uses less digits than its factorization.

681927966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 681927966720 in words is "six hundred eighty-one billion, nine hundred twenty-seven million, nine hundred sixty-six thousand, seven hundred twenty".