687395520000 has 900 divisors, whose sum is σ = 2884377872376. Its totient is φ = 157086720000.

The previous prime is 687395519977. The next prime is 687395520073. The reversal of 687395520000 is 25593786.

It is a happy number.

687395520000 is a `hidden beast` number, since 68 + 7 + 39 + 552 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 141117565 + ... + 141122435.

Almost surely, 2^687395520000 is an apocalyptic number.

687395520000 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 687395520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442188936188).

687395520000 is an abundant number, since it is smaller than the sum of its proper divisors (2196982352376).

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

687395520000 is an equidigital number, since it uses as much as digits as its factorization.

687395520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4929 (or 4888 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 687395520000 in words is "six hundred eighty-seven billion, three hundred ninety-five million, five hundred twenty thousand".