66082262400 has 2160 divisors, whose sum is σ = 319055633820. Its totient is φ = 13412044800.

The previous prime is 66082262399. The next prime is 66082262417. The reversal of 66082262400 is 426228066.

66082262400 is a `hidden beast` number, since 6 + 6 + 0 + 8 + 22 + 624 + 0 + 0 = 666.

66082262400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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 269 ways as a sum of consecutive naturals, for example, 1536796779 + ... + 1536796821.

Almost surely, 2^66082262400 is an apocalyptic number.

66082262400 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 66082262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159527816910).

66082262400 is an abundant number, since it is smaller than the sum of its proper divisors (252973371420).

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

66082262400 is a wasteful number, since it uses less digits than its factorization.

66082262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 66082262400 in words is "sixty-six billion, eighty-two million, two hundred sixty-two thousand, four hundred".