66552407040 has 704 divisors, whose sum is σ = 257773436928. Its totient is φ = 14332723200.

The previous prime is 66552407017. The next prime is 66552407059. The reversal of 66552407040 is 4070425566.

It is a self number, because there is not a number n which added to its sum of digits gives 66552407040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136657677 + ... + 136658163.

Almost surely, 2^66552407040 is an apocalyptic number.

66552407040 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 66552407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128886718464).

66552407040 is an abundant number, since it is smaller than the sum of its proper divisors (191221029888).

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

66552407040 is a wasteful number, since it uses less digits than its factorization.

66552407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 66552407040 in words is "sixty-six billion, five hundred fifty-two million, four hundred seven thousand, forty".