685405404768000 has 1152 divisors, whose sum is σ = 2802429474324480. Its totient is φ = 144966902169600.

The previous prime is 685405404767987. The next prime is 685405404768011. The reversal of 685405404768000 is 867404504586.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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, 548399797 + ... + 549648203.

It is an arithmetic number, because the mean of its divisors is an integer number (2432664474240).

Almost surely, 2^{685405404768000} is an apocalyptic number.

685405404768000 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 685405404768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401214737162240).

685405404768000 is an abundant number, since it is smaller than the sum of its proper divisors (2117024069556480).

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

685405404768000 is a wasteful number, since it uses less digits than its factorization.

685405404768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248510 (or 1248486 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 685405404768000 in words is "six hundred eighty-five trillion, four hundred five billion, four hundred four million, seven hundred sixty-eight thousand".