66259406408832 has 1280 divisors, whose sum is σ = 258463754841600. Its totient is φ = 16351312084992.

The previous prime is 66259406408807. The next prime is 66259406408887. The reversal of 66259406408832 is 23880460495266.

It is a happy number.

66259406408832 is a `hidden beast` number, since 6 + 6 + 2 + 594 + 0 + 6 + 4 + 0 + 8 + 8 + 32 = 666.

It is a super-2 number, since 2×66259406408832² (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 a self number, because there is not a number n which added to its sum of digits gives 66259406408832.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2774786269 + ... + 2774810147.

It is an arithmetic number, because the mean of its divisors is an integer number (201924808470).

Almost surely, 2^{66259406408832} 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 66259406408832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129231877420800).

66259406408832 is an abundant number, since it is smaller than the sum of its proper divisors (192204348432768).

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

66259406408832 is a wasteful number, since it uses less digits than its factorization.

66259406408832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24115 (or 24094 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 66259406408832 in words is "sixty-six trillion, two hundred fifty-nine billion, four hundred six million, four hundred eight thousand, eight hundred thirty-two".