64056192336 has 240 divisors, whose sum is σ = 194705752320. Its totient is φ = 20160161280.

The previous prime is 64056192329. The next prime is 64056192337. The reversal of 64056192336 is 63329165046.

64056192336 is a `hidden beast` number, since 6 + 4 + 0 + 5 + 619 + 23 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64056192291 and 64056192300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64056192337) 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 47 ways as a sum of consecutive naturals, for example, 67214836 + ... + 67215788.

It is an arithmetic number, because the mean of its divisors is an integer number (811273968).

Almost surely, 2^64056192336 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 64056192336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97352876160).

64056192336 is an abundant number, since it is smaller than the sum of its proper divisors (130649559984).

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

64056192336 is a wasteful number, since it uses less digits than its factorization.

64056192336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 64056192336 in words is "sixty-four billion, fifty-six million, one hundred ninety-two thousand, three hundred thirty-six".