758064349728 has 144 divisors (see below), whose sum is σ = 2464468022016. Its totient is φ = 216523100160.

The previous prime is 758064349723. The next prime is 758064349729. The reversal of 758064349728 is 827943460857.

758064349728 is a `hidden beast` number, since 7 + 5 + 80 + 6 + 43 + 497 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (758064349723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6683248 + ... + 6795728.

It is an arithmetic number, because the mean of its divisors is an integer number (17114361264).

Almost surely, 2^758064349728 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 758064349728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232234011008).

758064349728 is an abundant number, since it is smaller than the sum of its proper divisors (1706403672288).

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

758064349728 is a wasteful number, since it uses less digits than its factorization.

758064349728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115847 (or 115836 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

It can be divided in two parts, 7580643 and 49728, that added together give a triangular number (7630371 = T₃₉₀₆).

The spelling of 758064349728 in words is "seven hundred fifty-eight billion, sixty-four million, three hundred forty-nine thousand, seven hundred twenty-eight".