749640960 has 288 divisors, whose sum is σ = 2698080000. Its totient is φ = 197074944.

The previous prime is 749640937. The next prime is 749640989. The reversal of 749640960 is 69046947.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3766941 + ... + 3767139.

Almost surely, 2^749640960 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 749640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349040000).

749640960 is an abundant number, since it is smaller than the sum of its proper divisors (1948439040).

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

749640960 is a wasteful number, since it uses less digits than its factorization.

749640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 749640960 is about 27379.5719469827. The cubic root of 749640960 is about 908.4152912796.

The spelling of 749640960 in words is "seven hundred forty-nine million, six hundred forty thousand, nine hundred sixty".