66552642240 has 224 divisors, whose sum is σ = 241650706944. Its totient is φ = 15201976320.

The previous prime is 66552642227. The next prime is 66552642241. The reversal of 66552642240 is 4224625566.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 66552642192 and 66552642201.

It is not an unprimeable number, because it can be changed into a prime (66552642241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15931032 + ... + 15935208.

Almost surely, 2^66552642240 is an apocalyptic number.

66552642240 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 66552642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120825353472).

66552642240 is an abundant number, since it is smaller than the sum of its proper divisors (175098064704).

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

66552642240 is a wasteful number, since it uses less digits than its factorization.

66552642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575 (or 6565 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 66552642240 in words is "sixty-six billion, five hundred fifty-two million, six hundred forty-two thousand, two hundred forty".