66500802368 has 756 divisors, whose sum is σ = 196628063436. Its totient is φ = 22140518400.

The previous prime is 66500802367. The next prime is 66500802397. The reversal of 66500802368 is 86320800566.

It can be written as a sum of positive squares in 6 ways, for example, as 17868203584 + 48632598784 = 133672^2 + 220528^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66500802367) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1090177058 + ... + 1090177118.

It is an arithmetic number, because the mean of its divisors is an integer number (260090031).

Almost surely, 2^66500802368 is an apocalyptic number.

66500802368 is a gapful number since it is divisible by the number (68) 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 66500802368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98314031718).

66500802368 is an abundant number, since it is smaller than the sum of its proper divisors (130127261068).

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

66500802368 is a wasteful number, since it uses less digits than its factorization.

66500802368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

It can be divided in two parts, 66500 and 802368, that added together give a palindrome (868868).

The spelling of 66500802368 in words is "sixty-six billion, five hundred million, eight hundred two thousand, three hundred sixty-eight".