64092010896 has 225 divisors, whose sum is σ = 193225452069. Its totient is φ = 19831855104.

The previous prime is 64092010849. The next prime is 64092010937. The reversal of 64092010896 is 69801029046.

It is a happy number.

The square root of 64092010896 is 253164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1022720400 + 63069290496 = 31980^2 + 251136^2 .

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 877972716 + ... + 877972788.

Almost surely, 2^64092010896 is an apocalyptic number.

64092010896 is the 253164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64092010896

64092010896 is an abundant number, since it is smaller than the sum of its proper divisors (129133441173).

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

64092010896 is an frugal number, since it uses more digits than its factorization.

64092010896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 64092010896 in words is "sixty-four billion, ninety-two million, ten thousand, eight hundred ninety-six".