66512070 has 64 divisors (see below), whose sum is σ = 178476480. Its totient is φ = 17625600.

The previous prime is 66512063. The next prime is 66512077. The reversal of 66512070 is 7021566.

66512070 is a `hidden beast` number, since 6 + 651 + 2 + 0 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66512063) and next prime (66512077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66512077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48190 + ... + 49550.

It is an arithmetic number, because the mean of its divisors is an integer number (2788695).

Almost surely, 2^66512070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66512070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89238240).

66512070 is an abundant number, since it is smaller than the sum of its proper divisors (111964410).

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

66512070 is a wasteful number, since it uses less digits than its factorization.

66512070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 66512070 is about 8155.4932407550. The cubic root of 66512070 is about 405.1664610651.

The spelling of 66512070 in words is "sixty-six million, five hundred twelve thousand, seventy".