753469668 has 144 divisors (see below), whose sum is σ = 2288280960. Its totient is φ = 213772608.

The previous prime is 753469657. The next prime is 753469721. The reversal of 753469668 is 866964357.

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

Its product of digits (6531840) is a multiple of the sum of its prime divisors (1008).

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 47 ways as a sum of consecutive naturals, for example, 915105 + ... + 915927.

It is an arithmetic number, because the mean of its divisors is an integer number (15890840).

Almost surely, 2^753469668 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 753469668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144140480).

753469668 is an abundant number, since it is smaller than the sum of its proper divisors (1534811292).

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

753469668 is a wasteful number, since it uses less digits than its factorization.

753469668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1008 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 753469668 is about 27449.4019606985. The cubic root of 753469668 is about 909.9592092169.

The spelling of 753469668 in words is "seven hundred fifty-three million, four hundred sixty-nine thousand, six hundred sixty-eight".