64295005824 has 480 divisors, whose sum is σ = 223879930560. Its totient is φ = 18263024640.

The previous prime is 64295005811. The next prime is 64295005837. The reversal of 64295005824 is 42850059246.

64295005824 is a `hidden beast` number, since 64 + 2 + 9 + 5 + 0 + 0 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (64295005811) and next prime (64295005837).

It is a self number, because there is not a number n which added to its sum of digits gives 64295005824.

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 59 ways as a sum of consecutive naturals, for example, 137676439 + ... + 137676905.

It is an arithmetic number, because the mean of its divisors is an integer number (466416522).

Almost surely, 2^64295005824 is an apocalyptic number.

64295005824 is a gapful number since it is divisible by the number (64) 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 64295005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111939965280).

64295005824 is an abundant number, since it is smaller than the sum of its proper divisors (159584924736).

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

64295005824 is a wasteful number, since it uses less digits than its factorization.

64295005824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 64295005824 in words is "sixty-four billion, two hundred ninety-five million, five thousand, eight hundred twenty-four".