689751672480 has 768 divisors, whose sum is σ = 2641055155200. Its totient is φ = 167115571200.

The previous prime is 689751672469. The next prime is 689751672497. The reversal of 689751672480 is 84276157986.

689751672480 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 516 + 72 + 48 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1571188101 + ... + 1571188539.

It is an arithmetic number, because the mean of its divisors is an integer number (3438873900).

Almost surely, 2^689751672480 is an apocalyptic number.

689751672480 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 689751672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320527577600).

689751672480 is an abundant number, since it is smaller than the sum of its proper divisors (1951303482720).

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

689751672480 is a wasteful number, since it uses less digits than its factorization.

689751672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 689751672480 in words is "six hundred eighty-nine billion, seven hundred fifty-one million, six hundred seventy-two thousand, four hundred eighty".