689826936960 has 768 divisors, whose sum is σ = 2851145256960. Its totient is φ = 150265995264.

The previous prime is 689826936949. The next prime is 689826937003. The reversal of 689826936960 is 69639628986.

689826936960 is a `hidden beast` number, since 68 + 98 + 2 + 69 + 369 + 60 = 666.

It is a super-2 number, since 2×689826936960² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284698309 + ... + 284700731.

It is an arithmetic number, because the mean of its divisors is an integer number (3712428720).

Almost surely, 2^689826936960 is an apocalyptic number.

689826936960 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 689826936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1425572628480).

689826936960 is an abundant number, since it is smaller than the sum of its proper divisors (2161318320000).

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

689826936960 is a wasteful number, since it uses less digits than its factorization.

689826936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 689826936960 in words is "six hundred eighty-nine billion, eight hundred twenty-six million, nine hundred thirty-six thousand, nine hundred sixty".