681122856960 has 1728 divisors, whose sum is σ = 3077869197312. Its totient is φ = 140651790336.

The previous prime is 681122856949. The next prime is 681122856991. The reversal of 681122856960 is 69658221186.

681122856960 is a `hidden beast` number, since 6 + 8 + 1 + 12 + 2 + 8 + 569 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 681122856897 and 681122856906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14491975657 + ... + 14491975703.

It is an arithmetic number, because the mean of its divisors is an integer number (1781174304).

Almost surely, 2^681122856960 is an apocalyptic number.

681122856960 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 681122856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538934598656).

681122856960 is an abundant number, since it is smaller than the sum of its proper divisors (2396746340352).

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

681122856960 is an frugal number, since it uses more digits than its factorization.

681122856960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 681122856960 in words is "six hundred eighty-one billion, one hundred twenty-two million, eight hundred fifty-six thousand, nine hundred sixty".