66723659232048 has 800 divisors, whose sum is σ = 240245691958272. Its totient is φ = 17408100096000.

The previous prime is 66723659232047. The next prime is 66723659232107. The reversal of 66723659232048 is 84023295632766.

66723659232048 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 3 + 6 + 592 + 32 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×66723659232048² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (66723659232047) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14346086523 + ... + 14346091173.

Almost surely, 2^{66723659232048} 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 66723659232048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120122845979136).

66723659232048 is an abundant number, since it is smaller than the sum of its proper divisors (173522032726224).

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

66723659232048 is a wasteful number, since it uses less digits than its factorization.

66723659232048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5975 (or 5960 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 66723659232048 in words is "sixty-six trillion, seven hundred twenty-three billion, six hundred fifty-nine million, two hundred thirty-two thousand, forty-eight".