64728357120 has 1296 divisors, whose sum is σ = 280916633088. Its totient is φ = 14213283840.

The previous prime is 64728357107. The next prime is 64728357163. The reversal of 64728357120 is 2175382746.

64728357120 is a `hidden beast` number, since 6 + 4 + 72 + 8 + 3 + 571 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472469692 + ... + 472469828.

Almost surely, 2^64728357120 is an apocalyptic number.

64728357120 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 64728357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140458316544).

64728357120 is an abundant number, since it is smaller than the sum of its proper divisors (216188275968).

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

64728357120 is a wasteful number, since it uses less digits than its factorization.

64728357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 64728357120 in words is "sixty-four billion, seven hundred twenty-eight million, three hundred fifty-seven thousand, one hundred twenty".