688090480740 has 384 divisors, whose sum is σ = 2492339136000. Its totient is φ = 156123666432.

The previous prime is 688090480723. The next prime is 688090480747. The reversal of 688090480740 is 47084090886.

688090480740 is a `hidden beast` number, since 6 + 8 + 8 + 0 + 90 + 480 + 74 + 0 = 666.

It is a super-3 number, since 3×688090480740³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (688090480747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4865346 + ... + 5004774.

It is an arithmetic number, because the mean of its divisors is an integer number (6490466500).

Almost surely, 2^688090480740 is an apocalyptic number.

688090480740 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 688090480740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246169568000).

688090480740 is an abundant number, since it is smaller than the sum of its proper divisors (1804248655260).

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

688090480740 is a wasteful number, since it uses less digits than its factorization.

688090480740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139516 (or 139508 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 688090480740 in words is "six hundred eighty-eight billion, ninety million, four hundred eighty thousand, seven hundred forty".