681761733120 has 2560 divisors, whose sum is σ = 3044055168000. Its totient is φ = 144473849856.

The previous prime is 681761733089. The next prime is 681761733143. The reversal of 681761733120 is 21337167186.

681761733120 is a `hidden beast` number, since 6 + 8 + 1 + 7 + 617 + 3 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a super-2 number, since 2×681761733120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23509025266 + ... + 23509025294.

It is an arithmetic number, because the mean of its divisors is an integer number (1189084050).

Almost surely, 2^681761733120 is an apocalyptic number.

681761733120 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 681761733120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522027584000).

681761733120 is an abundant number, since it is smaller than the sum of its proper divisors (2362293434880).

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

681761733120 is a wasteful number, since it uses less digits than its factorization.

681761733120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 681761733120 in words is "six hundred eighty-one billion, seven hundred sixty-one million, seven hundred thirty-three thousand, one hundred twenty".