66806611200 has 648 divisors, whose sum is σ = 277156163648. Its totient is φ = 15036088320.

The previous prime is 66806611199. The next prime is 66806611211. The reversal of 66806611200 is 211660866.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27013164 + ... + 27015636.

Almost surely, 2^66806611200 is an apocalyptic number.

66806611200 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 66806611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138578081824).

66806611200 is an abundant number, since it is smaller than the sum of its proper divisors (210349552448).

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

66806611200 is a wasteful number, since it uses less digits than its factorization.

66806611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 66806611200 in words is "sixty-six billion, eight hundred six million, six hundred eleven thousand, two hundred".