66417361920 has 1056 divisors, whose sum is σ = 290127172608. Its totient is φ = 13674479616.

The previous prime is 66417361909. The next prime is 66417361961. The reversal of 66417361920 is 2916371466.

66417361920 is a `hidden beast` number, since 6 + 6 + 4 + 1 + 7 + 3 + 619 + 20 = 666.

It is a super-2 number, since 2×66417361920² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

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, 197083992 + ... + 197084328.

Almost surely, 2^66417361920 is an apocalyptic number.

66417361920 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 66417361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145063586304).

66417361920 is an abundant number, since it is smaller than the sum of its proper divisors (223709810688).

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

66417361920 is a wasteful number, since it uses less digits than its factorization.

66417361920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 66417361920 in words is "sixty-six billion, four hundred seventeen million, three hundred sixty-one thousand, nine hundred twenty".