66248020800 has 1176 divisors, whose sum is σ = 279773015256. Its totient is φ = 15288238080.

The previous prime is 66248020789. The next prime is 66248020807. The reversal of 66248020800 is 802084266.

66248020800 is a `hidden beast` number, since 6 + 624 + 8 + 0 + 20 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4115479104 + 62132541696 = 64152^2 + 249264^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66248020807) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 257774272 + ... + 257774528.

Almost surely, 2^66248020800 is an apocalyptic number.

66248020800 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 66248020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139886507628).

66248020800 is an abundant number, since it is smaller than the sum of its proper divisors (213524994456).

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

66248020800 is a wasteful number, since it uses less digits than its factorization.

66248020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 66248020800 in words is "sixty-six billion, two hundred forty-eight million, twenty thousand, eight hundred".