685976869440 has 896 divisors, whose sum is σ = 2692110643200. Its totient is φ = 165690759168.

The previous prime is 685976869373. The next prime is 685976869477. The reversal of 685976869440 is 44968679586.

685976869440 is a `hidden beast` number, since 6 + 8 + 59 + 76 + 8 + 69 + 440 = 666.

685976869440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 305828959 + ... + 305831201.

Almost surely, 2^685976869440 is an apocalyptic number.

685976869440 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 685976869440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346055321600).

685976869440 is an abundant number, since it is smaller than the sum of its proper divisors (2006133773760).

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

685976869440 is a wasteful number, since it uses less digits than its factorization.

685976869440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 685976869440 in words is "six hundred eighty-five billion, nine hundred seventy-six million, eight hundred sixty-nine thousand, four hundred forty".