64644315120 has 480 divisors, whose sum is σ = 276436592640. Its totient is φ = 13146255360.

The previous prime is 64644315119. The next prime is 64644315139. The reversal of 64644315120 is 2151344646.

64644315120 is a `hidden beast` number, since 6 + 4 + 644 + 3 + 1 + 5 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×64644315120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2593276 + ... + 2618084.

It is an arithmetic number, because the mean of its divisors is an integer number (575909568).

Almost surely, 2^64644315120 is an apocalyptic number.

64644315120 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 64644315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138218296320).

64644315120 is an abundant number, since it is smaller than the sum of its proper divisors (211792277520).

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

64644315120 is a wasteful number, since it uses less digits than its factorization.

64644315120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24893 (or 24884 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 64644315120 its reverse (2151344646), we get a palindrome (66795659766).

The spelling of 64644315120 in words is "sixty-four billion, six hundred forty-four million, three hundred fifteen thousand, one hundred twenty".