749508627168 has 360 divisors, whose sum is σ = 2675663120592. Its totient is φ = 204833857536.

The previous prime is 749508627163. The next prime is 749508627169. The reversal of 749508627168 is 861726805947.

749508627168 is a `hidden beast` number, since 7 + 4 + 9 + 508 + 62 + 7 + 1 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749508627163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2792896 + ... + 3049472.

Almost surely, 2^749508627168 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 749508627168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337831560296).

749508627168 is an abundant number, since it is smaller than the sum of its proper divisors (1926154493424).

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

749508627168 is a wasteful number, since it uses less digits than its factorization.

749508627168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256636 (or 256612 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 749508627168 in words is "seven hundred forty-nine billion, five hundred eight million, six hundred twenty-seven thousand, one hundred sixty-eight".