741648960 has 560 divisors, whose sum is σ = 2974067712. Its totient is φ = 174182400.

The previous prime is 741648949. The next prime is 741648967. The reversal of 741648960 is 69846147.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741648967) 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 79 ways as a sum of consecutive naturals, for example, 10445725 + ... + 10445795.

Almost surely, 2^741648960 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 741648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487033856).

741648960 is an abundant number, since it is smaller than the sum of its proper divisors (2232418752).

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

741648960 is a wasteful number, since it uses less digits than its factorization.

741648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 741648960 is about 27233.2326395527. The cubic root of 741648960 is about 905.1755141208.

The spelling of 741648960 in words is "seven hundred forty-one million, six hundred forty-eight thousand, nine hundred sixty".