66245760 has 384 divisors, whose sum is σ = 274959360. Its totient is φ = 14376960.

The previous prime is 66245759. The next prime is 66245779. The reversal of 66245760 is 6754266.

66245760 = T₂₁₁ + T₂₁₂ + ... + T₇₄₀.

66245760 is a `hidden beast` number, since 66 + 24 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1249894 + ... + 1249946.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 2^66245760 is an apocalyptic number.

66245760 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 66245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137479680).

66245760 is an abundant number, since it is smaller than the sum of its proper divisors (208713600).

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

66245760 is a wasteful number, since it uses less digits than its factorization.

66245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 66245760 is about 8139.1498327528. The cubic root of 66245760 is about 404.6249843603.

The spelling of 66245760 in words is "sixty-six million, two hundred forty-five thousand, seven hundred sixty".