66415352544 has 336 divisors, whose sum is σ = 200402826624. Its totient is φ = 21653049600.

The previous prime is 66415352533. The next prime is 66415352551. The reversal of 66415352544 is 44525351466.

66415352544 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 53 + 52 + 544 = 666.

Its product of digits (1728000) is a multiple of the sum of its prime divisors (450).

It is a self number, because there is not a number n which added to its sum of digits gives 66415352544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 314764599 + ... + 314764809.

It is an arithmetic number, because the mean of its divisors is an integer number (596436984).

Almost surely, 2^66415352544 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 66415352544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100201413312).

66415352544 is an abundant number, since it is smaller than the sum of its proper divisors (133987474080).

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

66415352544 is a wasteful number, since it uses less digits than its factorization.

66415352544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 450 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 45.

The spelling of 66415352544 in words is "sixty-six billion, four hundred fifteen million, three hundred fifty-two thousand, five hundred forty-four".