687391286400 has 1728 divisors, whose sum is σ = 3114605730600. Its totient is φ = 143061811200.

The previous prime is 687391286363. The next prime is 687391286429. The reversal of 687391286400 is 4682193786.

687391286400 is a `hidden beast` number, since 6 + 8 + 73 + 91 + 2 + 86 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 140229278784 + 547162007616 = 374472^2 + 739704^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1632758190 + ... + 1632758610.

Almost surely, 2^687391286400 is an apocalyptic number.

687391286400 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 687391286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557302865300).

687391286400 is an abundant number, since it is smaller than the sum of its proper divisors (2427214444200).

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

687391286400 is a wasteful number, since it uses less digits than its factorization.

687391286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 687391286400 in words is "six hundred eighty-seven billion, three hundred ninety-one million, two hundred eighty-six thousand, four hundred".