688327542144 has 512 divisors, whose sum is σ = 2348669952000. Its totient is φ = 196266240000.

The previous prime is 688327542131. The next prime is 688327542151. The reversal of 688327542144 is 441245723886.

688327542144 is a `hidden beast` number, since 6 + 8 + 83 + 2 + 7 + 542 + 14 + 4 = 666.

It is a super-2 number, since 2×688327542144² (a number of 24 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109064749 + ... + 109071059.

It is an arithmetic number, because the mean of its divisors is an integer number (4587246000).

Almost surely, 2^688327542144 is an apocalyptic number.

688327542144 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 688327542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174334976000).

688327542144 is an abundant number, since it is smaller than the sum of its proper divisors (1660342409856).

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

688327542144 is a wasteful number, since it uses less digits than its factorization.

688327542144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6515 (or 6497 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The spelling of 688327542144 in words is "six hundred eighty-eight billion, three hundred twenty-seven million, five hundred forty-two thousand, one hundred forty-four".