66472665600 has 480 divisors, whose sum is σ = 253669496256. Its totient is φ = 15165030400.

The previous prime is 66472665547. The next prime is 66472665629. The reversal of 66472665600 is 656627466.

It is a tau number, because it is divible by the number of its divisors (480).

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 66472665600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7176172 + ... + 7185428.

Almost surely, 2^66472665600 is an apocalyptic number.

66472665600 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 66472665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126834748128).

66472665600 is an abundant number, since it is smaller than the sum of its proper divisors (187196830656).

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

66472665600 is a wasteful number, since it uses less digits than its factorization.

66472665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9316 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 66472665600 in words is "sixty-six billion, four hundred seventy-two million, six hundred sixty-five thousand, six hundred".