66371265360 has 480 divisors, whose sum is σ = 245071457280. Its totient is φ = 16024780800.

The previous prime is 66371265349. The next prime is 66371265361. The reversal of 66371265360 is 6356217366.

66371265360 is a `hidden beast` number, since 6 + 637 + 1 + 2 + 6 + 5 + 3 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66371265361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80061426 + ... + 80062254.

It is an arithmetic number, because the mean of its divisors is an integer number (510565536).

Almost surely, 2^66371265360 is an apocalyptic number.

66371265360 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 66371265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122535728640).

66371265360 is an abundant number, since it is smaller than the sum of its proper divisors (178700191920).

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

66371265360 is a wasteful number, since it uses less digits than its factorization.

66371265360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 66371265360 in words is "sixty-six billion, three hundred seventy-one million, two hundred sixty-five thousand, three hundred sixty".