747024768 has 384 divisors, whose sum is σ = 2637573120. Its totient is φ = 206032896.

The previous prime is 747024757. The next prime is 747024769. The reversal of 747024768 is 867420747.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747024769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10233180 + ... + 10233252.

It is an arithmetic number, because the mean of its divisors is an integer number (6868680).

Almost surely, 2^747024768 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 747024768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318786560).

747024768 is an abundant number, since it is smaller than the sum of its proper divisors (1890548352).

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

747024768 is an equidigital number, since it uses as much as digits as its factorization.

747024768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 747024768 is about 27331.7538405423. The cubic root of 747024768 is about 907.3572919509.

The spelling of 747024768 in words is "seven hundred forty-seven million, twenty-four thousand, seven hundred sixty-eight".