66747411360 has 576 divisors, whose sum is σ = 268022297088. Its totient is φ = 14811144192.

The previous prime is 66747411233. The next prime is 66747411361. The reversal of 66747411360 is 6311474766.

66747411360 is a `hidden beast` number, since 6 + 6 + 7 + 474 + 113 + 60 = 666.

66747411360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66747411360² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66747411361) 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, 55026114 + ... + 55027326.

It is an arithmetic number, because the mean of its divisors is an integer number (465316488).

Almost surely, 2^66747411360 is an apocalyptic number.

66747411360 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 66747411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134011148544).

66747411360 is an abundant number, since it is smaller than the sum of its proper divisors (201274885728).

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

66747411360 is a wasteful number, since it uses less digits than its factorization.

66747411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 66747411360 in words is "sixty-six billion, seven hundred forty-seven million, four hundred eleven thousand, three hundred sixty".