749285311824 has 180 divisors, whose sum is σ = 2441300452500. Its totient is φ = 213907599360.

The previous prime is 749285311813. The next prime is 749285311829. The reversal of 749285311824 is 428113582947.

749285311824 is a `hidden beast` number, since 7 + 4 + 9 + 28 + 531 + 1 + 82 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289194421824 + 460090890000 = 537768^2 + 678300^2 .

It is a super-2 number, since 2×749285311824² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749285311829) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8770434 + ... + 8855454.

Almost surely, 2^749285311824 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 749285311824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220650226250).

749285311824 is an abundant number, since it is smaller than the sum of its proper divisors (1692015140676).

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

749285311824 is a wasteful number, since it uses less digits than its factorization.

749285311824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86298 (or 86282 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 749285311824 in words is "seven hundred forty-nine billion, two hundred eighty-five million, three hundred eleven thousand, eight hundred twenty-four".