66738190464 has 256 divisors, whose sum is σ = 215212982400. Its totient is φ = 20192071680.

The previous prime is 66738190433. The next prime is 66738190537. The reversal of 66738190464 is 46409183766.

66738190464 is a `hidden beast` number, since 6 + 67 + 38 + 1 + 90 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66738190464.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 38509342 + ... + 38511074.

Almost surely, 2^66738190464 is an apocalyptic number.

66738190464 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 66738190464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107606491200).

66738190464 is an abundant number, since it is smaller than the sum of its proper divisors (148474791936).

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

66738190464 is a wasteful number, since it uses less digits than its factorization.

66738190464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2780 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 66738190464 in words is "sixty-six billion, seven hundred thirty-eight million, one hundred ninety thousand, four hundred sixty-four".