685142115840 has 2880 divisors, whose sum is σ = 3270915648000. Its totient is φ = 136949170176.

The previous prime is 685142115809. The next prime is 685142115899. The reversal of 685142115840 is 48511241586.

685142115840 is a `hidden beast` number, since 6 + 8 + 51 + 4 + 2 + 11 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 36060111351 + ... + 36060111369.

It is an arithmetic number, because the mean of its divisors is an integer number (1135734600).

Almost surely, 2^685142115840 is an apocalyptic number.

685142115840 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 685142115840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635457824000).

685142115840 is an abundant number, since it is smaller than the sum of its proper divisors (2585773532160).

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

685142115840 is an equidigital number, since it uses as much as digits as its factorization.

685142115840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 685142115840 in words is "six hundred eighty-five billion, one hundred forty-two million, one hundred fifteen thousand, eight hundred forty".