685752107040 has 2880 divisors, whose sum is σ = 3422309304960. Its totient is φ = 122903101440.

The previous prime is 685752107039. The next prime is 685752107077. The reversal of 685752107040 is 40701257586.

685752107040 is a `hidden beast` number, since 6 + 8 + 57 + 521 + 0 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9393864444 + ... + 9393864516.

It is an arithmetic number, because the mean of its divisors is an integer number (1188301842).

Almost surely, 2^685752107040 is an apocalyptic number.

685752107040 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 685752107040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711154652480).

685752107040 is an abundant number, since it is smaller than the sum of its proper divisors (2736557197920).

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

685752107040 is a wasteful number, since it uses less digits than its factorization.

685752107040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 685752107040 in words is "six hundred eighty-five billion, seven hundred fifty-two million, one hundred seven thousand, forty".