688729480 has 192 divisors, whose sum is σ = 1801699200. Its totient is φ = 235699200.

The previous prime is 688729469. The next prime is 688729519. The reversal of 688729480 is 84927886.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16798260 + ... + 16798300.

It is an arithmetic number, because the mean of its divisors is an integer number (9383850).

Almost surely, 2^688729480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688729480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900849600).

688729480 is an abundant number, since it is smaller than the sum of its proper divisors (1112969720).

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

688729480 is a wasteful number, since it uses less digits than its factorization.

688729480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 688729480 is about 26243.6559953068. The cubic root of 688729480 is about 883.1128908402.

The spelling of 688729480 in words is "six hundred eighty-eight million, seven hundred twenty-nine thousand, four hundred eighty".