689760264960 has 576 divisors, whose sum is σ = 2774744716800. Its totient is φ = 160848986112.

The previous prime is 689760264953. The next prime is 689760265001. The reversal of 689760264960 is 69462067986.

689760264960 is a `hidden beast` number, since 6 + 89 + 7 + 60 + 2 + 6 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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, 8495919 + ... + 8576721.

Almost surely, 2^689760264960 is an apocalyptic number.

689760264960 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 689760264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387372358400).

689760264960 is an abundant number, since it is smaller than the sum of its proper divisors (2084984451840).

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

689760264960 is a wasteful number, since it uses less digits than its factorization.

689760264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80865 (or 80845 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 689760264960 in words is "six hundred eighty-nine billion, seven hundred sixty million, two hundred sixty-four thousand, nine hundred sixty".