66916280250624 has 1152 divisors, whose sum is σ = 220938302914560. Its totient is φ = 17578487808000.

The previous prime is 66916280250607. The next prime is 66916280250707. The reversal of 66916280250624 is 42605208261966.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42703432689 + ... + 42703434255.

It is an arithmetic number, because the mean of its divisors is an integer number (191786721280).

Almost surely, 2^{66916280250624} is an apocalyptic number.

66916280250624 is a gapful number since it is divisible by the number (64) 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 66916280250624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110469151457280).

66916280250624 is an abundant number, since it is smaller than the sum of its proper divisors (154022022663936).

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

66916280250624 is a wasteful number, since it uses less digits than its factorization.

66916280250624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 66916280250624 in words is "sixty-six trillion, nine hundred sixteen billion, two hundred eighty million, two hundred fifty thousand, six hundred twenty-four".