66334905360 has 240 divisors, whose sum is σ = 238745505024. Its totient is φ = 16462752768.

The previous prime is 66334905353. The next prime is 66334905401. The reversal of 66334905360 is 6350943366.

66334905360 is a `hidden beast` number, since 6 + 633 + 4 + 9 + 0 + 5 + 3 + 6 + 0 = 666.

66334905360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×66334905360³ (a number of 33 digits) contains 333 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558589 + ... + 666851.

Almost surely, 2^66334905360 is an apocalyptic number.

66334905360 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 66334905360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119372752512).

66334905360 is an abundant number, since it is smaller than the sum of its proper divisors (172410599664).

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

66334905360 is a wasteful number, since it uses less digits than its factorization.

66334905360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108342 (or 108333 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 45.

The spelling of 66334905360 in words is "sixty-six billion, three hundred thirty-four million, nine hundred five thousand, three hundred sixty".