66919050240 has 704 divisors, whose sum is σ = 267583315968. Its totient is φ = 13919846400.

The previous prime is 66919050199. The next prime is 66919050281. The reversal of 66919050240 is 4205091966.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66919050199) and next prime (66919050281).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 66919050192 and 66919050201.

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, 56662450 + ... + 56663630.

Almost surely, 2^66919050240 is an apocalyptic number.

66919050240 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 66919050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133791657984).

66919050240 is an abundant number, since it is smaller than the sum of its proper divisors (200664265728).

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

66919050240 is a wasteful number, since it uses less digits than its factorization.

66919050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 66919050240 in words is "sixty-six billion, nine hundred nineteen million, fifty thousand, two hundred forty".