66870253440 has 480 divisors, whose sum is σ = 247108188600. Its totient is φ = 16662380544.

The previous prime is 66870253433. The next prime is 66870253441. The reversal of 66870253440 is 4435207866.

66870253440 is a `hidden beast` number, since 6 + 6 + 8 + 70 + 2 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66870253441) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 481080891 + ... + 481081029.

Almost surely, 2^66870253440 is an apocalyptic number.

66870253440 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 66870253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123554094300).

66870253440 is an abundant number, since it is smaller than the sum of its proper divisors (180237935160).

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

66870253440 is an equidigital number, since it uses as much as digits as its factorization.

66870253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 66870253440 in words is "sixty-six billion, eight hundred seventy million, two hundred fifty-three thousand, four hundred forty".