66848113440 has 576 divisors, whose sum is σ = 250354540800. Its totient is φ = 16178061312.

The previous prime is 66848113403. The next prime is 66848113457. The reversal of 66848113440 is 4431184866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137264877 + ... + 137265363.

It is an arithmetic number, because the mean of its divisors is an integer number (434643300).

Almost surely, 2^66848113440 is an apocalyptic number.

66848113440 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 66848113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125177270400).

66848113440 is an abundant number, since it is smaller than the sum of its proper divisors (183506427360).

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

66848113440 is a wasteful number, since it uses less digits than its factorization.

66848113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 66848113440 in words is "sixty-six billion, eight hundred forty-eight million, one hundred thirteen thousand, four hundred forty".