681904978272000 has 3456 divisors, whose sum is σ = 3037629198240000. Its totient is φ = 150032823091200.

The previous prime is 681904978271939. The next prime is 681904978272031. The reversal of 681904978272000 is 272879409186.

681904978272000 is a `hidden beast` number, since 68 + 1 + 9 + 0 + 497 + 82 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 551257055382 + ... + 551257056618.

It is an arithmetic number, because the mean of its divisors is an integer number (878943633750).

Almost surely, 2^{681904978272000} is an apocalyptic number.

681904978272000 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 681904978272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518814599120000).

681904978272000 is an abundant number, since it is smaller than the sum of its proper divisors (2355724219968000).

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

681904978272000 is a wasteful number, since it uses less digits than its factorization.

681904978272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 681904978272000 in words is "six hundred eighty-one trillion, nine hundred four billion, nine hundred seventy-eight million, two hundred seventy-two thousand".