749014560 has 768 divisors, whose sum is σ = 3344302080. Its totient is φ = 152616960.

The previous prime is 749014559. The next prime is 749014589. The reversal of 749014560 is 65410947.

749014560 is a `hidden beast` number, since 7 + 4 + 90 + 1 + 4 + 560 = 666.

It is a super-2 number, since 2×749014560² = 1122045622183987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15936457 + ... + 15936503.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^749014560 is an apocalyptic number.

749014560 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 749014560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1672151040).

749014560 is an abundant number, since it is smaller than the sum of its proper divisors (2595287520).

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

749014560 is a wasteful number, since it uses less digits than its factorization.

749014560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 749014560 is about 27368.1303709260. The cubic root of 749014560 is about 908.1621968266.

The spelling of 749014560 in words is "seven hundred forty-nine million, fourteen thousand, five hundred sixty".