685993024080 has 1680 divisors, whose sum is σ = 3026284269696. Its totient is φ = 141490851840.

The previous prime is 685993024051. The next prime is 685993024091. The reversal of 685993024080 is 80420399586.

685993024080 is a `hidden beast` number, since 6 + 8 + 599 + 3 + 0 + 2 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4208546079 + ... + 4208546241.

Almost surely, 2^685993024080 is an apocalyptic number.

685993024080 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 685993024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513142134848).

685993024080 is an abundant number, since it is smaller than the sum of its proper divisors (2340291245616).

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

685993024080 is a wasteful number, since it uses less digits than its factorization.

685993024080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 685993024080 in words is "six hundred eighty-five billion, nine hundred ninety-three million, twenty-four thousand, eighty".