64804753728 has 1120 divisors, whose sum is σ = 245360586240. Its totient is φ = 16617000960.

The previous prime is 64804753711. The next prime is 64804753751. The reversal of 64804753728 is 82735740846.

64804753728 = 412³ + 413³ + ... + 732³.

64804753728 is a `hidden beast` number, since 6 + 4 + 80 + 4 + 7 + 537 + 28 = 666.

It is a super-2 number, since 2×64804753728² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 605651851 + ... + 605651957.

It is an arithmetic number, because the mean of its divisors is an integer number (219071952).

Almost surely, 2^64804753728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64804753728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122680293120).

64804753728 is an abundant number, since it is smaller than the sum of its proper divisors (180555832512).

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

64804753728 is a wasteful number, since it uses less digits than its factorization.

64804753728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 64804753728 in words is "sixty-four billion, eight hundred four million, seven hundred fifty-three thousand, seven hundred twenty-eight".