685392042400 has 72 divisors (see below), whose sum is σ = 1801922068044. Its totient is φ = 253067827200.

The previous prime is 685392042373. The next prime is 685392042407. The reversal of 685392042400 is 4240293586.

It can be written as a sum of positive squares in 6 ways, for example, as 238585356304 + 446806686096 = 488452^2 + 668436^2 .

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (685392042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32941141 + ... + 32961940.

Almost surely, 2^685392042400 is an apocalyptic number.

It is an amenable number.

685392042400 is an abundant number, since it is smaller than the sum of its proper divisors (1116530025644).

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

685392042400 is a wasteful number, since it uses less digits than its factorization.

685392042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65903114 (or 65903101 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 685392042400 in words is "six hundred eighty-five billion, three hundred ninety-two million, forty-two thousand, four hundred".