689073916134240 has 1536 divisors, whose sum is σ = 3079957141094400. Its totient is φ = 139967641681920.

The previous prime is 689073916134199. The next prime is 689073916134281. The reversal of 689073916134240 is 42431619370986.

689073916134240 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 7 + 3 + 9 + 1 + 613 + 4 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (689073916134199) and next prime (689073916134281).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2351890476 + ... + 2352183444.

It is an arithmetic number, because the mean of its divisors is an integer number (2005180430400).

Almost surely, 2^{689073916134240} is an apocalyptic number.

689073916134240 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 689073916134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539978570547200).

689073916134240 is an abundant number, since it is smaller than the sum of its proper divisors (2390883224960160).

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

689073916134240 is a wasteful number, since it uses less digits than its factorization.

689073916134240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293237 (or 293223 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 689073916134240 in words is "six hundred eighty-nine trillion, seventy-three billion, nine hundred sixteen million, one hundred thirty-four thousand, two hundred forty".