689931988416 has 448 divisors, whose sum is σ = 2238053253120. Its totient is φ = 206686080000.

The previous prime is 689931988399. The next prime is 689931988433. The reversal of 689931988416 is 614889139986.

689931988416 is a `hidden beast` number, since 6 + 8 + 99 + 31 + 98 + 8 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (689931988399) and next prime (689931988433).

It is a super-2 number, since 2×689931988416² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 777825925 + ... + 777826811.

Almost surely, 2^689931988416 is an apocalyptic number.

689931988416 is a gapful number since it is divisible by the number (66) 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 689931988416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119026626560).

689931988416 is an abundant number, since it is smaller than the sum of its proper divisors (1548121264704).

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

689931988416 is a wasteful number, since it uses less digits than its factorization.

689931988416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1325 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 689931988416 in words is "six hundred eighty-nine billion, nine hundred thirty-one million, nine hundred eighty-eight thousand, four hundred sixteen".