749063040 has 256 divisors, whose sum is σ = 2696716800. Its totient is φ = 175185920.

The previous prime is 749063033. The next prime is 749063059. The reversal of 749063040 is 40360947.

It is a super-2 number, since 2×749063040² = 1122190875788083200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 749062992 and 749063010.

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, 611869 + ... + 613091.

It is an arithmetic number, because the mean of its divisors is an integer number (10534050).

Almost surely, 2^749063040 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 749063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348358400).

749063040 is an abundant number, since it is smaller than the sum of its proper divisors (1947653760).

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

749063040 is a wasteful number, since it uses less digits than its factorization.

749063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 749063040 is about 27369.0160583094. The cubic root of 749063040 is about 908.1817900164.

The spelling of 749063040 in words is "seven hundred forty-nine million, sixty-three thousand, forty".