681422407680 has 768 divisors, whose sum is σ = 2688544535040. Its totient is φ = 143784935424.

The previous prime is 681422407637. The next prime is 681422407703. The reversal of 681422407680 is 86704224186.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193749282 + ... + 193752798.

It is an arithmetic number, because the mean of its divisors is an integer number (3500709030).

Almost surely, 2^681422407680 is an apocalyptic number.

681422407680 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 681422407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344272267520).

681422407680 is an abundant number, since it is smaller than the sum of its proper divisors (2007122127360).

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

681422407680 is a wasteful number, since it uses less digits than its factorization.

681422407680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3624 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 681422407680 in words is "six hundred eighty-one billion, four hundred twenty-two million, four hundred seven thousand, six hundred eighty".