66082824000 has 896 divisors, whose sum is σ = 255622348800. Its totient is φ = 16692480000.

The previous prime is 66082823977. The next prime is 66082824007. The reversal of 66082824000 is 42828066.

66082824000 is a `hidden beast` number, since 6 + 608 + 2 + 8 + 2 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66082824007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 475415931 + ... + 475416069.

It is an arithmetic number, because the mean of its divisors is an integer number (285292800).

Almost surely, 2^66082824000 is an apocalyptic number.

66082824000 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 66082824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127811174400).

66082824000 is an abundant number, since it is smaller than the sum of its proper divisors (189539524800).

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

66082824000 is a wasteful number, since it uses less digits than its factorization.

66082824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 66082824000 in words is "sixty-six billion, eighty-two million, eight hundred twenty-four thousand".