64027993456 has 120 divisors (see below), whose sum is σ = 145978089840. Its totient is φ = 27124263936.

The previous prime is 64027993427. The next prime is 64027993459. The reversal of 64027993456 is 65439972046.

It is a junction number, because it is equal to n+sod(n) for n = 64027993397 and 64027993406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64027993459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58365900 + ... + 58366996.

It is an arithmetic number, because the mean of its divisors is an integer number (1216484082).

Almost surely, 2^64027993456 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 64027993456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72989044920).

64027993456 is an abundant number, since it is smaller than the sum of its proper divisors (81950096384).

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

64027993456 is a wasteful number, since it uses less digits than its factorization.

64027993456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 55.

The spelling of 64027993456 in words is "sixty-four billion, twenty-seven million, nine hundred ninety-three thousand, four hundred fifty-six".