66544638048 has 192 divisors, whose sum is σ = 221949504000. Its totient is φ = 19001267712.

The previous prime is 66544638029. The next prime is 66544638067. The reversal of 66544638048 is 84083644566.

66544638048 is a `hidden beast` number, since 6 + 65 + 4 + 463 + 80 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (66544638029) and next prime (66544638067).

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

It is a junction number, because it is equal to n+sod(n) for n = 66544637985 and 66544638003.

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, 18801463 + ... + 18805001.

It is an arithmetic number, because the mean of its divisors is an integer number (1155987000).

Almost surely, 2^66544638048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66544638048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110974752000).

66544638048 is an abundant number, since it is smaller than the sum of its proper divisors (155404865952).

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

66544638048 is a wasteful number, since it uses less digits than its factorization.

66544638048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6674 (or 6660 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 66544638048 in words is "sixty-six billion, five hundred forty-four million, six hundred thirty-eight thousand, forty-eight".