66679093200 has 480 divisors, whose sum is σ = 230890936320. Its totient is φ = 16389734400.

The previous prime is 66679093181. The next prime is 66679093231. The reversal of 66679093200 is 239097666.

66679093200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66679093200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66679093200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349105105 + ... + 349105295.

It is an arithmetic number, because the mean of its divisors is an integer number (481022784).

Almost surely, 2^66679093200 is an apocalyptic number.

66679093200 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 66679093200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115445468160).

66679093200 is an abundant number, since it is smaller than the sum of its proper divisors (164211843120).

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

66679093200 is a wasteful number, since it uses less digits than its factorization.

66679093200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 48.

The spelling of 66679093200 in words is "sixty-six billion, six hundred seventy-nine million, ninety-three thousand, two hundred".