688364490240 has 2240 divisors, whose sum is σ = 3091430707200. Its totient is φ = 143470559232.

The previous prime is 688364490181. The next prime is 688364490313. The reversal of 688364490240 is 42094463886.

688364490240 is a `hidden beast` number, since 6 + 88 + 36 + 4 + 490 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8713474521 + ... + 8713474599.

Almost surely, 2^688364490240 is an apocalyptic number.

688364490240 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 688364490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1545715353600).

688364490240 is an abundant number, since it is smaller than the sum of its proper divisors (2403066216960).

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

688364490240 is an equidigital number, since it uses as much as digits as its factorization.

688364490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 688364490240 in words is "six hundred eighty-eight billion, three hundred sixty-four million, four hundred ninety thousand, two hundred forty".