759425664 has 64 divisors (see below), whose sum is σ = 2027874240. Its totient is φ = 251805696.

The previous prime is 759425663. The next prime is 759425677. The reversal of 759425664 is 466524957.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (759425663) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 68989 + ... + 79235.

It is an arithmetic number, because the mean of its divisors is an integer number (31685535).

Almost surely, 2^759425664 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 759425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013937120).

759425664 is an abundant number, since it is smaller than the sum of its proper divisors (1268448576).

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

759425664 is a wasteful number, since it uses less digits than its factorization.

759425664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10445 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 759425664 is about 27557.6788572623. The cubic root of 759425664 is about 912.3505885099.

The spelling of 759425664 in words is "seven hundred fifty-nine million, four hundred twenty-five thousand, six hundred sixty-four".