64744396800 has 288 divisors, whose sum is σ = 215786188800. Its totient is φ = 17124065280.

The previous prime is 64744396777. The next prime is 64744396813. The reversal of 64744396800 is 869344746.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19505541 + ... + 19508859.

It is an arithmetic number, because the mean of its divisors is an integer number (749257600).

Almost surely, 2^64744396800 is an apocalyptic number.

64744396800 is a gapful number since it is divisible by the number (60) 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 64744396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107893094400).

64744396800 is an abundant number, since it is smaller than the sum of its proper divisors (151041792000).

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

64744396800 is a wasteful number, since it uses less digits than its factorization.

64744396800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3456 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 64744396800 in words is "sixty-four billion, seven hundred forty-four million, three hundred ninety-six thousand, eight hundred".