66239233632 has 576 divisors, whose sum is σ = 230538147840. Its totient is φ = 17872358400.

The previous prime is 66239233591. The next prime is 66239233637. The reversal of 66239233632 is 23633293266.

66239233632 is a `hidden beast` number, since 6 + 6 + 2 + 3 + 9 + 2 + 3 + 3 + 632 = 666.

It is a super-2 number, since 2×66239233632² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66239233637) 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, 215762823 + ... + 215763129.

It is an arithmetic number, because the mean of its divisors is an integer number (400239840).

Almost surely, 2^66239233632 is an apocalyptic number.

66239233632 is a gapful number since it is divisible by the number (62) 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 66239233632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115269073920).

66239233632 is an abundant number, since it is smaller than the sum of its proper divisors (164298914208).

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

66239233632 is a wasteful number, since it uses less digits than its factorization.

66239233632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 367 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 45.

The spelling of 66239233632 in words is "sixty-six billion, two hundred thirty-nine million, two hundred thirty-three thousand, six hundred thirty-two".