66342374784 has 1152 divisors, whose sum is σ = 253955520000. Its totient is φ = 17118646272.

The previous prime is 66342374773. The next prime is 66342374851. The reversal of 66342374784 is 48747324366.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66342374784.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 839776857 + ... + 839776935.

It is an arithmetic number, because the mean of its divisors is an integer number (220447500).

Almost surely, 2^66342374784 is an apocalyptic number.

66342374784 is a gapful number since it is divisible by the number (64) 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 66342374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760000).

66342374784 is an abundant number, since it is smaller than the sum of its proper divisors (187613145216).

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

66342374784 is a wasteful number, since it uses less digits than its factorization.

66342374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 54.

The spelling of 66342374784 in words is "sixty-six billion, three hundred forty-two million, three hundred seventy-four thousand, seven hundred eighty-four".