741742960 has 80 divisors (see below), whose sum is σ = 1986158592. Its totient is φ = 252345600.

The previous prime is 741742949. The next prime is 741742979. The reversal of 741742960 is 69247147.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68305 + ... + 78415.

Almost surely, 2^741742960 is an apocalyptic number.

741742960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 741742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993079296).

741742960 is an abundant number, since it is smaller than the sum of its proper divisors (1244415632).

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

741742960 is a wasteful number, since it uses less digits than its factorization.

741742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10262 (or 10256 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 741742960 is about 27234.9584174458. The cubic root of 741742960 is about 905.2137545411.

The spelling of 741742960 in words is "seven hundred forty-one million, seven hundred forty-two thousand, nine hundred sixty".