64844376480 has 576 divisors, whose sum is σ = 258981166080. Its totient is φ = 14631321600.

The previous prime is 64844376473. The next prime is 64844376497. The reversal of 64844376480 is 8467344846.

64844376480 is a `hidden beast` number, since 64 + 8 + 443 + 7 + 64 + 80 = 666.

It is a super-2 number, since 2×64844376480² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11023140 + ... + 11029020.

It is an arithmetic number, because the mean of its divisors is an integer number (449620080).

Almost surely, 2^64844376480 is an apocalyptic number.

64844376480 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 64844376480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129490583040).

64844376480 is an abundant number, since it is smaller than the sum of its proper divisors (194136789600).

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

64844376480 is a wasteful number, since it uses less digits than its factorization.

64844376480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5965 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 64844376480 in words is "sixty-four billion, eight hundred forty-four million, three hundred seventy-six thousand, four hundred eighty".