66411828480 has 144 divisors (see below), whose sum is σ = 214487058240. Its totient is φ = 17510744064.

The previous prime is 66411828407. The next prime is 66411828517. The reversal of 66411828480 is 8482811466.

It is a happy number.

It is a super-2 number, since 2×66411828480² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244599 + ... + 438921.

It is an arithmetic number, because the mean of its divisors is an integer number (1489493460).

Almost surely, 2^66411828480 is an apocalyptic number.

66411828480 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 66411828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107243529120).

66411828480 is an abundant number, since it is smaller than the sum of its proper divisors (148075229760).

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

66411828480 is a wasteful number, since it uses less digits than its factorization.

66411828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194436 (or 194422 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The spelling of 66411828480 in words is "sixty-six billion, four hundred eleven million, eight hundred twenty-eight thousand, four hundred eighty".