687097444074048 has 896 divisors, whose sum is σ = 2411035611955200. Its totient is φ = 187745635123200.

The previous prime is 687097444074001. The next prime is 687097444074089. The reversal of 687097444074048 is 840470444790786.

687097444074048 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 9 + 74 + 440 + 74 + 0 + 48 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79460784861 + ... + 79460793507.

Almost surely, 2^{687097444074048} 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 687097444074048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205517805977600).

687097444074048 is an abundant number, since it is smaller than the sum of its proper divisors (1723938167881152).

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

687097444074048 is a wasteful number, since it uses less digits than its factorization.

687097444074048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11176 (or 11160 counting only the distinct ones).

The product of its (nonzero) digits is 1213857792, while the sum is 72.

The spelling of 687097444074048 in words is "six hundred eighty-seven trillion, ninety-seven billion, four hundred forty-four million, seventy-four thousand, forty-eight".