687045288384 has 1344 divisors, whose sum is σ = 2692237440000. Its totient is φ = 171661980672.

The previous prime is 687045288383. The next prime is 687045288421. The reversal of 687045288384 is 483882540786.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

687045288384 is a `hidden beast` number, since 6 + 8 + 70 + 4 + 528 + 8 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687045288383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36160278327 + ... + 36160278345.

Almost surely, 2^687045288384 is an apocalyptic number.

687045288384 is a gapful number since it is divisible by the number (64) 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 687045288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346118720000).

687045288384 is an abundant number, since it is smaller than the sum of its proper divisors (2005192151616).

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

687045288384 is an equidigital number, since it uses as much as digits as its factorization.

687045288384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 687045288384 in words is "six hundred eighty-seven billion, forty-five million, two hundred eighty-eight thousand, three hundred eighty-four".