66481753536 has 224 divisors, whose sum is σ = 215915443200. Its totient is φ = 19890524160.

The previous prime is 66481753517. The next prime is 66481753549. The reversal of 66481753536 is 63535718466.

66481753536 is a `hidden beast` number, since 6 + 6 + 48 + 17 + 53 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479496 + ... + 1523768.

Almost surely, 2^66481753536 is an apocalyptic number.

66481753536 is a gapful number since it is divisible by the number (66) 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 66481753536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107957721600).

66481753536 is an abundant number, since it is smaller than the sum of its proper divisors (149433689664).

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

66481753536 is a wasteful number, since it uses less digits than its factorization.

66481753536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44384 (or 44368 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 66481753536 in words is "sixty-six billion, four hundred eighty-one million, seven hundred fifty-three thousand, five hundred thirty-six".