66612480 has 288 divisors, whose sum is σ = 247242240. Its totient is φ = 15114240.

The previous prime is 66612479. The next prime is 66612493. The reversal of 66612480 is 8421666.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802519 + ... + 802601.

It is an arithmetic number, because the mean of its divisors is an integer number (858480).

Almost surely, 2^66612480 is an apocalyptic number.

66612480 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 66612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

66612480 is an abundant number, since it is smaller than the sum of its proper divisors (180629760).

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

66612480 is a wasteful number, since it uses less digits than its factorization.

66612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 66612480 is about 8161.6468926314. The cubic root of 66612480 is about 405.3702451765.

The spelling of 66612480 in words is "sixty-six million, six hundred twelve thousand, four hundred eighty".