680987991011328 has 7488 divisors, whose sum is σ = 2985626577024000. Its totient is φ = 153383070597120.

The previous prime is 680987991011327. The next prime is 680987991011333. The reversal of 680987991011328 is 823110199789086.

It is a happy number.

680987991011328 is a `hidden beast` number, since 68 + 0 + 98 + 79 + 91 + 0 + 1 + 1 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (7488).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680987991011327) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 18405080838126 + ... + 18405080838162.

It is an arithmetic number, because the mean of its divisors is an integer number (398721498000).

Almost surely, 2^{680987991011328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680987991011328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492813288512000).

680987991011328 is an abundant number, since it is smaller than the sum of its proper divisors (2304638586012672).

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

680987991011328 is a wasteful number, since it uses less digits than its factorization.

680987991011328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 72.

The spelling of 680987991011328 in words is "six hundred eighty trillion, nine hundred eighty-seven billion, nine hundred ninety-one million, eleven thousand, three hundred twenty-eight".