689639131898640 has 5760 divisors, whose sum is σ = 3248387769876480. Its totient is φ = 131411214950400.

The previous prime is 689639131898573. The next prime is 689639131898653. The reversal of 689639131898640 is 46898131936986.

689639131898640 is a `hidden beast` number, since 6 + 8 + 9 + 6 + 391 + 3 + 189 + 8 + 6 + 40 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 689639131898640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 9713227209805 + ... + 9713227209875.

It is an arithmetic number, because the mean of its divisors is an integer number (563956210048).

Almost surely, 2^{689639131898640} is an apocalyptic number.

689639131898640 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 689639131898640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624193884938240).

689639131898640 is an abundant number, since it is smaller than the sum of its proper divisors (2558748637977840).

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

689639131898640 is a wasteful number, since it uses less digits than its factorization.

689639131898640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2902376448, while the sum is 81.

The spelling of 689639131898640 in words is "six hundred eighty-nine trillion, six hundred thirty-nine billion, one hundred thirty-one million, eight hundred ninety-eight thousand, six hundred forty".