689627312640 has 1920 divisors, whose sum is σ = 3019966709760. Its totient is φ = 147483721728.

The previous prime is 689627312639. The next prime is 689627312657. The reversal of 689627312640 is 46213726986.

689627312640 is a `hidden beast` number, since 6 + 8 + 9 + 627 + 3 + 1 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5430136257 + ... + 5430136383.

It is an arithmetic number, because the mean of its divisors is an integer number (1572899328).

Almost surely, 2^689627312640 is an apocalyptic number.

689627312640 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 689627312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509983354880).

689627312640 is an abundant number, since it is smaller than the sum of its proper divisors (2330339397120).

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

689627312640 is a wasteful number, since it uses less digits than its factorization.

689627312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 689627312640 in words is "six hundred eighty-nine billion, six hundred twenty-seven million, three hundred twelve thousand, six hundred forty".