66113625600 has 1800 divisors, whose sum is σ = 293965809984. Its totient is φ = 14598144000.

The previous prime is 66113625587. The next prime is 66113625607. The reversal of 66113625600 is 652631166.

66113625600 is a `hidden beast` number, since 6 + 6 + 11 + 36 + 2 + 5 + 600 = 666.

66113625600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×66113625600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113625607) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2132697585 + ... + 2132697615.

Almost surely, 2^66113625600 is an apocalyptic number.

66113625600 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 66113625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146982904992).

66113625600 is an abundant number, since it is smaller than the sum of its proper divisors (227852184384).

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

66113625600 is a wasteful number, since it uses less digits than its factorization.

66113625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 66113625600 in words is "sixty-six billion, one hundred thirteen million, six hundred twenty-five thousand, six hundred".