742561824 has 96 divisors (see below), whose sum is σ = 2021713344. Its totient is φ = 238469120.

The previous prime is 742561823. The next prime is 742561829. The reversal of 742561824 is 428165247.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (742561823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325552 + ... + 327824.

It is an arithmetic number, because the mean of its divisors is an integer number (21059514).

Almost surely, 2^742561824 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 742561824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010856672).

742561824 is an abundant number, since it is smaller than the sum of its proper divisors (1279151520).

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

742561824 is a wasteful number, since it uses less digits than its factorization.

742561824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2402 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 742561824 is about 27249.9875963275. The cubic root of 742561824 is about 905.5467424677.

The spelling of 742561824 in words is "seven hundred forty-two million, five hundred sixty-one thousand, eight hundred twenty-four".