687118049280 has 1120 divisors, whose sum is σ = 2697572354400. Its totient is φ = 166302056448.

The previous prime is 687118049263. The next prime is 687118049297. The reversal of 687118049280 is 82940811786.

687118049280 is a `hidden beast` number, since 6 + 8 + 71 + 1 + 8 + 0 + 492 + 80 = 666.

687118049280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (687118049263) and next prime (687118049297).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3838648231 + ... + 3838648409.

It is an arithmetic number, because the mean of its divisors is an integer number (2408546745).

Almost surely, 2^687118049280 is an apocalyptic number.

687118049280 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 687118049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348786177200).

687118049280 is an abundant number, since it is smaller than the sum of its proper divisors (2010454305120).

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

687118049280 is a wasteful number, since it uses less digits than its factorization.

687118049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 687118049280 in words is "six hundred eighty-seven billion, one hundred eighteen million, forty-nine thousand, two hundred eighty".