66447360 has 288 divisors, whose sum is σ = 265749120. Its totient is φ = 15040512.

The previous prime is 66447349. The next prime is 66447379. The reversal of 66447360 is 6374466.

66447360 = T₁₅ + T₁₆ + ... + T₇₃₅.

66447360 is a `hidden beast` number, since 6 + 644 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645069 + ... + 645171.

It is an arithmetic number, because the mean of its divisors is an integer number (922740).

Almost surely, 2^66447360 is an apocalyptic number.

66447360 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 66447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

66447360 is an abundant number, since it is smaller than the sum of its proper divisors (199301760).

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

66447360 is a wasteful number, since it uses less digits than its factorization.

66447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

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

The square root of 66447360 is about 8151.5250106959. The cubic root of 66447360 is about 405.0350221200.

The spelling of 66447360 in words is "sixty-six million, four hundred forty-seven thousand, three hundred sixty".