66311620452 has 288 divisors, whose sum is σ = 222285772800. Its totient is φ = 16136616960.

The previous prime is 66311620451. The next prime is 66311620511. The reversal of 66311620452 is 25402611366.

66311620452 is a `hidden beast` number, since 6 + 631 + 16 + 2 + 0 + 4 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (66311620451) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 10694049 + ... + 10700247.

It is an arithmetic number, because the mean of its divisors is an integer number (771825600).

Almost surely, 2^66311620452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66311620452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111142886400).

66311620452 is an abundant number, since it is smaller than the sum of its proper divisors (155974152348).

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

66311620452 is a wasteful number, since it uses less digits than its factorization.

66311620452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6471 (or 6466 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 66311620452 in words is "sixty-six billion, three hundred eleven million, six hundred twenty thousand, four hundred fifty-two".