687130214400 has 1224 divisors, whose sum is σ = 2945983253040. Its totient is φ = 156562882560.

The previous prime is 687130214363. The next prime is 687130214471. The reversal of 687130214400 is 4412031786.

687130214400 is a `hidden beast` number, since 6 + 8 + 7 + 1 + 30 + 214 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2167603042 + ... + 2167603358.

Almost surely, 2^687130214400 is an apocalyptic number.

687130214400 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 687130214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472991626520).

687130214400 is an abundant number, since it is smaller than the sum of its proper divisors (2258853038640).

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

687130214400 is an equidigital number, since it uses as much as digits as its factorization.

687130214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 687130214400 in words is "six hundred eighty-seven billion, one hundred thirty million, two hundred fourteen thousand, four hundred".