66113997600 has 1152 divisors, whose sum is σ = 269934723072. Its totient is φ = 13735526400.

The previous prime is 66113997581. The next prime is 66113997617. The reversal of 66113997600 is 679931166.

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 66113997600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 905671164 + ... + 905671236.

It is an arithmetic number, because the mean of its divisors is an integer number (234318336).

Almost surely, 2^66113997600 is an apocalyptic number.

66113997600 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 66113997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134967361536).

66113997600 is an abundant number, since it is smaller than the sum of its proper divisors (203820725472).

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

66113997600 is a wasteful number, since it uses less digits than its factorization.

66113997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The spelling of 66113997600 in words is "sixty-six billion, one hundred thirteen million, nine hundred ninety-seven thousand, six hundred".