66828590400 has 1008 divisors, whose sum is σ = 266016223872. Its totient is φ = 14584627200.

The previous prime is 66828590393. The next prime is 66828590429. The reversal of 66828590400 is 409582866.

It is a happy number.

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 66828590400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 400171117 + ... + 400171283.

It is an arithmetic number, because the mean of its divisors is an integer number (263904984).

Almost surely, 2^66828590400 is an apocalyptic number.

66828590400 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 66828590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133008111936).

66828590400 is an abundant number, since it is smaller than the sum of its proper divisors (199187633472).

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

66828590400 is a wasteful number, since it uses less digits than its factorization.

66828590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 66828590400 in words is "sixty-six billion, eight hundred twenty-eight million, five hundred ninety thousand, four hundred".