64319139456 has 288 divisors, whose sum is σ = 203372789760. Its totient is φ = 17989171200.

The previous prime is 64319139439. The next prime is 64319139491. The reversal of 64319139456 is 65493191346.

64319139456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 64319139399 and 64319139408.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7848321 + ... + 7856511.

It is an arithmetic number, because the mean of its divisors is an integer number (706155520).

Almost surely, 2^64319139456 is an apocalyptic number.

64319139456 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 64319139456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101686394880).

64319139456 is an abundant number, since it is smaller than the sum of its proper divisors (139053650304).

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

64319139456 is a wasteful number, since it uses less digits than its factorization.

64319139456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8220 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 64319139456 in words is "sixty-four billion, three hundred nineteen million, one hundred thirty-nine thousand, four hundred fifty-six".