66123766800 has 1200 divisors, whose sum is σ = 299748231552. Its totient is φ = 13586227200.

The previous prime is 66123766799. The next prime is 66123766811. The reversal of 66123766800 is 866732166.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 120884127 + ... + 120884673.

Almost surely, 2^66123766800 is an apocalyptic number.

66123766800 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 66123766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149874115776).

66123766800 is an abundant number, since it is smaller than the sum of its proper divisors (233624464752).

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

66123766800 is a wasteful number, since it uses less digits than its factorization.

66123766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 66123766800 in words is "sixty-six billion, one hundred twenty-three million, seven hundred sixty-six thousand, eight hundred".