685616267181600 has 576 divisors, whose sum is σ = 2532638105786880. Its totient is φ = 178924435660800.

The previous prime is 685616267181577. The next prime is 685616267181607. The reversal of 685616267181600 is 6181762616586.

685616267181600 is a `hidden beast` number, since 6 + 8 + 5 + 6 + 1 + 6 + 2 + 6 + 7 + 18 + 1 + 600 = 666.

It is a super-2 number, since 2×685616267181600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (685616267181607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14124453330 + ... + 14124501870.

It is an arithmetic number, because the mean of its divisors is an integer number (4396941155880).

Almost surely, 2^{685616267181600} is an apocalyptic number.

685616267181600 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 685616267181600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266319052893440).

685616267181600 is an abundant number, since it is smaller than the sum of its proper divisors (1847021838605280).

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

685616267181600 is a wasteful number, since it uses less digits than its factorization.

685616267181600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62530 (or 62511 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 685616267181600 in words is "six hundred eighty-five trillion, six hundred sixteen billion, two hundred sixty-seven million, one hundred eighty-one thousand, six hundred".