66012311040 has 1280 divisors, whose sum is σ = 267282892800. Its totient is φ = 13702791168.

The previous prime is 66012310993. The next prime is 66012311041. The reversal of 66012311040 is 4011321066.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 66012311040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66012311041) 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 127 ways as a sum of consecutive naturals, for example, 741711316 + ... + 741711404.

It is an arithmetic number, because the mean of its divisors is an integer number (208814760).

Almost surely, 2^66012311040 is an apocalyptic number.

66012311040 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 66012311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133641446400).

66012311040 is an abundant number, since it is smaller than the sum of its proper divisors (201270581760).

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

66012311040 is a wasteful number, since it uses less digits than its factorization.

66012311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 66012311040 in words is "sixty-six billion, twelve million, three hundred eleven thousand, forty".