749266560 has 192 divisors, whose sum is σ = 2957086080. Its totient is φ = 171251712.

The previous prime is 749266543. The next prime is 749266571. The reversal of 749266560 is 65662947.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×749266560² = 1122800755868467200, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31029 + ... + 49611.

It is an arithmetic number, because the mean of its divisors is an integer number (15401490).

Almost surely, 2^749266560 is an apocalyptic number.

749266560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478543040).

749266560 is an abundant number, since it is smaller than the sum of its proper divisors (2207819520).

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

749266560 is a wasteful number, since it uses less digits than its factorization.

749266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18615 (or 18600 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 749266560 is about 27372.7338788072. The cubic root of 749266560 is about 908.2640333929.

The spelling of 749266560 in words is "seven hundred forty-nine million, two hundred sixty-six thousand, five hundred sixty".