681312537360 has 1280 divisors, whose sum is σ = 3133419448320. Its totient is φ = 131967221760.

The previous prime is 681312537317. The next prime is 681312537391. The reversal of 681312537360 is 63735213186.

681312537360 is a `hidden beast` number, since 6 + 8 + 1 + 31 + 253 + 7 + 360 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 136999834 + ... + 137004806.

It is an arithmetic number, because the mean of its divisors is an integer number (2447983944).

Almost surely, 2^681312537360 is an apocalyptic number.

681312537360 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 681312537360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566709724160).

681312537360 is an abundant number, since it is smaller than the sum of its proper divisors (2452106910960).

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

681312537360 is a wasteful number, since it uses less digits than its factorization.

681312537360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 681312537360 in words is "six hundred eighty-one billion, three hundred twelve million, five hundred thirty-seven thousand, three hundred sixty".