687502628736 has 1024 divisors, whose sum is σ = 2430471536640. Its totient is φ = 167060275200.

The previous prime is 687502628671. The next prime is 687502628741. The reversal of 687502628736 is 637826205786.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 687502628736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4116782125 + ... + 4116782291.

It is an arithmetic number, because the mean of its divisors is an integer number (2373507360).

Almost surely, 2^687502628736 is an apocalyptic number.

687502628736 is a gapful number since it is divisible by the number (66) 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 687502628736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215235768320).

687502628736 is an abundant number, since it is smaller than the sum of its proper divisors (1742968907904).

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

687502628736 is a wasteful number, since it uses less digits than its factorization.

687502628736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 60.

The spelling of 687502628736 in words is "six hundred eighty-seven billion, five hundred two million, six hundred twenty-eight thousand, seven hundred thirty-six".