687561055200 has 432 divisors, whose sum is σ = 2460670600752. Its totient is φ = 180633600000.

The previous prime is 687561055199. The next prime is 687561055211. The reversal of 687561055200 is 2550165786.

687561055200 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 610 + 5 + 5 + 20 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 153436960 + ... + 153441440.

It is an arithmetic number, because the mean of its divisors is an integer number (5695996761).

Almost surely, 2^687561055200 is an apocalyptic number.

687561055200 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 687561055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230335300376).

687561055200 is an abundant number, since it is smaller than the sum of its proper divisors (1773109545552).

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

687561055200 is a wasteful number, since it uses less digits than its factorization.

687561055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 687561055200 in words is "six hundred eighty-seven billion, five hundred sixty-one million, fifty-five thousand, two hundred".