66457396800 has 252 divisors, whose sum is σ = 237072234516. Its totient is φ = 17656934400.

The previous prime is 66457396777. The next prime is 66457396843. The reversal of 66457396800 is 869375466.

66457396800 is a `hidden beast` number, since 6 + 6 + 4 + 573 + 9 + 68 + 0 + 0 = 666.

66457396800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 6800311296 + 59657085504 = 82464^2 + 244248^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3980470 + ... + 3997130.

Almost surely, 2^66457396800 is an apocalyptic number.

66457396800 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 66457396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118536117258).

66457396800 is an abundant number, since it is smaller than the sum of its proper divisors (170614837716).

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

66457396800 is a wasteful number, since it uses less digits than its factorization.

66457396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16966 (or 16948 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 66457396800 in words is "sixty-six billion, four hundred fifty-seven million, three hundred ninety-six thousand, eight hundred".