66415030272 has 208 divisors, whose sum is σ = 197496149760. Its totient is φ = 22055731200.

The previous prime is 66415030243. The next prime is 66415030273. The reversal of 66415030272 is 27203051466.

66415030272 is a `hidden beast` number, since 6 + 641 + 5 + 0 + 3 + 0 + 2 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66415030273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34393147 + ... + 34395077.

It is an arithmetic number, because the mean of its divisors is an integer number (949500720).

Almost surely, 2^66415030272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66415030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98748074880).

66415030272 is an abundant number, since it is smaller than the sum of its proper divisors (131081119488).

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

66415030272 is a wasteful number, since it uses less digits than its factorization.

66415030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2247 counting only the distinct ones).

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

The spelling of 66415030272 in words is "sixty-six billion, four hundred fifteen million, thirty thousand, two hundred seventy-two".