681137380699776 has 3072 divisors, whose sum is σ = 2962559142144000. Its totient is φ = 150936713625600.

The previous prime is 681137380699703. The next prime is 681137380699807. The reversal of 681137380699776 is 677996083731186.

It is a happy number.

681137380699776 is a `hidden beast` number, since 6 + 8 + 11 + 373 + 80 + 6 + 9 + 97 + 76 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 681137380699695 and 681137380699704.

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, 18864395515 + ... + 18864431621.

It is an arithmetic number, because the mean of its divisors is an integer number (964374720750).

Almost surely, 2^{681137380699776} is an apocalyptic number.

681137380699776 is a gapful number since it is divisible by the number (66) 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 681137380699776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481279571072000).

681137380699776 is an abundant number, since it is smaller than the sum of its proper divisors (2281421761444224).

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

681137380699776 is a wasteful number, since it uses less digits than its factorization.

681137380699776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36228 (or 36203 counting only the distinct ones).

The product of its (nonzero) digits is 3456649728, while the sum is 81.

The spelling of 681137380699776 in words is "six hundred eighty-one trillion, one hundred thirty-seven billion, three hundred eighty million, six hundred ninety-nine thousand, seven hundred seventy-six".