741408768 has 136 divisors (see below), whose sum is σ = 2201992800. Its totient is φ = 246546432.

The previous prime is 741408727. The next prime is 741408799. The reversal of 741408768 is 867804147.

It is a super-2 number, since 2×741408768² = 1099373922534555648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1769263 + ... + 1769681.

Almost surely, 2^741408768 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 741408768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100996400).

741408768 is an abundant number, since it is smaller than the sum of its proper divisors (1460584032).

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

741408768 is an frugal number, since it uses more digits than its factorization.

741408768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 741408768 is about 27228.8223762982. The cubic root of 741408768 is about 905.0777862181.

The spelling of 741408768 in words is "seven hundred forty-one million, four hundred eight thousand, seven hundred sixty-eight".