66475701600 has 576 divisors, whose sum is σ = 274239447552. Its totient is φ = 13584384000.

The previous prime is 66475701557. The next prime is 66475701623. The reversal of 66475701600 is 610757466.

66475701600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 11269852 + ... + 11275748.

It is an arithmetic number, because the mean of its divisors is an integer number (476110152).

Almost surely, 2^66475701600 is an apocalyptic number.

66475701600 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 66475701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137119723776).

66475701600 is an abundant number, since it is smaller than the sum of its proper divisors (207763745952).

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

66475701600 is a wasteful number, since it uses less digits than its factorization.

66475701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5999 (or 5986 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 66475701600 in words is "sixty-six billion, four hundred seventy-five million, seven hundred one thousand, six hundred".