681667056000 has 1024 divisors, whose sum is σ = 2888295321600. Its totient is φ = 154790092800.

The previous prime is 681667055963. The next prime is 681667056017. The reversal of 681667056000 is 650766186.

681667056000 is a `hidden beast` number, since 6 + 8 + 16 + 6 + 70 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 523151349 + ... + 523152651.

It is an arithmetic number, because the mean of its divisors is an integer number (2820600900).

Almost surely, 2^681667056000 is an apocalyptic number.

681667056000 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 681667056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444147660800).

681667056000 is an abundant number, since it is smaller than the sum of its proper divisors (2206628265600).

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

681667056000 is a wasteful number, since it uses less digits than its factorization.

681667056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 681667056000 in words is "six hundred eighty-one billion, six hundred sixty-seven million, fifty-six thousand".