66315432624 has 480 divisors, whose sum is σ = 216043315200. Its totient is φ = 17435658240.

The previous prime is 66315432611. The next prime is 66315432641. The reversal of 66315432624 is 42623451366.

It is a happy number.

66315432624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167041194 + ... + 167041590.

It is an arithmetic number, because the mean of its divisors is an integer number (450090240).

Almost surely, 2^66315432624 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 66315432624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108021657600).

66315432624 is an abundant number, since it is smaller than the sum of its proper divisors (149727882576).

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

66315432624 is a wasteful number, since it uses less digits than its factorization.

66315432624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 548 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 66315432624 in words is "sixty-six billion, three hundred fifteen million, four hundred thirty-two thousand, six hundred twenty-four".