64084648320 has 1536 divisors, whose sum is σ = 293289984000. Its totient is φ = 12507955200.

The previous prime is 64084648301. The next prime is 64084648343. The reversal of 64084648320 is 2384648046.

64084648320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 811198041 + ... + 811198119.

It is an arithmetic number, because the mean of its divisors is an integer number (190944000).

Almost surely, 2^64084648320 is an apocalyptic number.

64084648320 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 64084648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146644992000).

64084648320 is an abundant number, since it is smaller than the sum of its proper divisors (229205335680).

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

64084648320 is a wasteful number, since it uses less digits than its factorization.

64084648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 64084648320 in words is "sixty-four billion, eighty-four million, six hundred forty-eight thousand, three hundred twenty".