749986560 has 144 divisors (see below), whose sum is σ = 2661533280. Its totient is φ = 199987200.

The previous prime is 749986547. The next prime is 749986621. The reversal of 749986560 is 65689947.

749986560 is a `hidden beast` number, since 74 + 9 + 9 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 749986497 and 749986506.

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 15 ways as a sum of consecutive naturals, for example, 23710 + ... + 45410.

It is an arithmetic number, because the mean of its divisors is an integer number (18482870).

Almost surely, 2^749986560 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 749986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330766640).

749986560 is an abundant number, since it is smaller than the sum of its proper divisors (1911546720).

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

749986560 is a wasteful number, since it uses less digits than its factorization.

749986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21731 (or 21711 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 749986560 is about 27385.8824944532. The cubic root of 749986560 is about 908.5548692501.

The spelling of 749986560 in words is "seven hundred forty-nine million, nine hundred eighty-six thousand, five hundred sixty".