66200240736 has 384 divisors, whose sum is σ = 234345000960. Its totient is φ = 17748688896.

The previous prime is 66200240699. The next prime is 66200240741. The reversal of 66200240736 is 63704200266.

It is a happy number.

66200240736 is a `hidden beast` number, since 6 + 620 + 0 + 24 + 0 + 7 + 3 + 6 = 666.

66200240736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66200240736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44518585 + ... + 44520071.

It is an arithmetic number, because the mean of its divisors is an integer number (610273440).

Almost surely, 2^66200240736 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 66200240736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117172500480).

66200240736 is an abundant number, since it is smaller than the sum of its proper divisors (168144760224).

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

66200240736 is a wasteful number, since it uses less digits than its factorization.

66200240736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

It can be divided in two parts, 66200 and 240736, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 66200240736 in words is "sixty-six billion, two hundred million, two hundred forty thousand, seven hundred thirty-six".