689753958385932 has 288 divisors, whose sum is σ = 2038267704904704. Its totient is φ = 194352770304000.

The previous prime is 689753958385913. The next prime is 689753958386041. The reversal of 689753958385932 is 239583859357986.

689753958385932 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 5 + 3 + 9 + 5 + 8 + 3 + 8 + 593 + 2 = 666.

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, 313713003 + ... + 315904029.

It is an arithmetic number, because the mean of its divisors is an integer number (7077318419808).

Almost surely, 2^{689753958385932} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 689753958385932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019133852452352).

689753958385932 is an abundant number, since it is smaller than the sum of its proper divisors (1348513746518772).

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

689753958385932 is a wasteful number, since it uses less digits than its factorization.

689753958385932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2191629 (or 2191624 counting only the distinct ones).

The product of its digits is 105815808000, while the sum is 90.

The spelling of 689753958385932 in words is "six hundred eighty-nine trillion, seven hundred fifty-three billion, nine hundred fifty-eight million, three hundred eighty-five thousand, nine hundred thirty-two".