688484966400 has 2520 divisors, whose sum is σ = 3269280075600. Its totient is φ = 143061811200.

The previous prime is 688484966399. The next prime is 688484966401. The reversal of 688484966400 is 4669484886.

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.

688484966400 is a `hidden beast` number, since 6 + 8 + 8 + 484 + 96 + 64 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (688484966399) and next prime (688484966401).

It is a tau number, because it is divible by the number of its divisors (2520).

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 (688484966401) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 62589542395 + ... + 62589542405.

Almost surely, 2^688484966400 is an apocalyptic number.

688484966400 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 688484966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634640037800).

688484966400 is an abundant number, since it is smaller than the sum of its proper divisors (2580795109200).

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

688484966400 is an equidigital number, since it uses as much as digits as its factorization.

688484966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 688484966400 in words is "six hundred eighty-eight billion, four hundred eighty-four million, nine hundred sixty-six thousand, four hundred".