688876377840 has 800 divisors, whose sum is σ = 2888465412096. Its totient is φ = 148821442560.

The previous prime is 688876377829. The next prime is 688876377857. The reversal of 688876377840 is 48773678886.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60459184 + ... + 60470576.

Almost surely, 2^688876377840 is an apocalyptic number.

688876377840 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 688876377840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444232706048).

688876377840 is an abundant number, since it is smaller than the sum of its proper divisors (2199589034256).

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

688876377840 is a wasteful number, since it uses less digits than its factorization.

688876377840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 688876377840 in words is "six hundred eighty-eight billion, eight hundred seventy-six million, three hundred seventy-seven thousand, eight hundred forty".