66634276800 has 2016 divisors, whose sum is σ = 305627105280. Its totient is φ = 12541132800.

The previous prime is 66634276789. The next prime is 66634276817. The reversal of 66634276800 is 867243666.

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 66634276800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1800926382 + ... + 1800926418.

Almost surely, 2^66634276800 is an apocalyptic number.

66634276800 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 66634276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152813552640).

66634276800 is an abundant number, since it is smaller than the sum of its proper divisors (238992828480).

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

66634276800 is a wasteful number, since it uses less digits than its factorization.

66634276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 66634276800 in words is "sixty-six billion, six hundred thirty-four million, two hundred seventy-six thousand, eight hundred".