685667462400 has 1296 divisors, whose sum is σ = 2748365343360. Its totient is φ = 168608563200.

The previous prime is 685667462357. The next prime is 685667462407. The reversal of 685667462400 is 4264766586.

685667462400 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 6 + 7 + 4 + 624 + 0 + 0 = 666.

685667462400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (685667462407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1037318070 + ... + 1037318730.

Almost surely, 2^685667462400 is an apocalyptic number.

685667462400 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 685667462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374182671680).

685667462400 is an abundant number, since it is smaller than the sum of its proper divisors (2062697880960).

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

685667462400 is a wasteful number, since it uses less digits than its factorization.

685667462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 685667462400 in words is "six hundred eighty-five billion, six hundred sixty-seven million, four hundred sixty-two thousand, four hundred".