687347474267520 has 2048 divisors, whose sum is σ = 2873136365568000. Its totient is φ = 153562986086400.

The previous prime is 687347474267479. The next prime is 687347474267669. The reversal of 687347474267520 is 25762474743786.

687347474267520 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 4 + 7 + 4 + 74 + 26 + 7 + 520 = 666.

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

It is a congruent number.

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, 31035681087 + ... + 31035703233.

It is an arithmetic number, because the mean of its divisors is an integer number (1402898616000).

Almost surely, 2^{687347474267520} is an apocalyptic number.

687347474267520 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 687347474267520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436568182784000).

687347474267520 is an abundant number, since it is smaller than the sum of its proper divisors (2185788891300480).

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

687347474267520 is a wasteful number, since it uses less digits than its factorization.

687347474267520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22469 (or 22451 counting only the distinct ones).

The product of its (nonzero) digits is 2655313920, while the sum is 72.

The spelling of 687347474267520 in words is "six hundred eighty-seven trillion, three hundred forty-seven billion, four hundred seventy-four million, two hundred sixty-seven thousand, five hundred twenty".