687363497099136 has 1024 divisors, whose sum is σ = 2462337148723200. Its totient is φ = 185907363840000.

The previous prime is 687363497099119. The next prime is 687363497099137. The reversal of 687363497099136 is 631990794363786.

687363497099136 is a `hidden beast` number, since 6 + 8 + 7 + 3 + 6 + 3 + 497 + 0 + 9 + 91 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687363497099137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18399839370 + ... + 18399876726.

It is an arithmetic number, because the mean of its divisors is an integer number (2404626121800).

Almost surely, 2^{687363497099136} is an apocalyptic number.

687363497099136 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 687363497099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231168574361600).

687363497099136 is an abundant number, since it is smaller than the sum of its proper divisors (1774973651624064).

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

687363497099136 is a wasteful number, since it uses less digits than its factorization.

687363497099136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38636 (or 38618 counting only the distinct ones).

The product of its (nonzero) digits is 6666395904, while the sum is 81.

The spelling of 687363497099136 in words is "six hundred eighty-seven trillion, three hundred sixty-three billion, four hundred ninety-seven million, ninety-nine thousand, one hundred thirty-six".