689863032315072 has 5376 divisors, whose sum is σ = 2850794817454080. Its totient is φ = 158645329920000.

The previous prime is 689863032315047. The next prime is 689863032315089. The reversal of 689863032315072 is 270513230368986.

It is a happy number.

689863032315072 is a `hidden beast` number, since 6 + 8 + 9 + 8 + 6 + 303 + 2 + 315 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×689863032315072² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9450178524828 + ... + 9450178524900.

It is an arithmetic number, because the mean of its divisors is an integer number (530281774080).

Almost surely, 2^{689863032315072} is an apocalyptic number.

689863032315072 is a gapful number since it is divisible by the number (62) 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 689863032315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425397408727040).

689863032315072 is an abundant number, since it is smaller than the sum of its proper divisors (2160931785139008).

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

689863032315072 is a wasteful number, since it uses less digits than its factorization.

689863032315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 689863032315072 in words is "six hundred eighty-nine trillion, eight hundred sixty-three billion, thirty-two million, three hundred fifteen thousand, seventy-two".