740743584 has 288 divisors, whose sum is σ = 2451072960. Its totient is φ = 194568192.

The previous prime is 740743583. The next prime is 740743603. The reversal of 740743584 is 485347047.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (740743583) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4718034 + ... + 4718190.

It is an arithmetic number, because the mean of its divisors is an integer number (8510670).

Almost surely, 2^740743584 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 740743584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225536480).

740743584 is an abundant number, since it is smaller than the sum of its proper divisors (1710329376).

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

740743584 is a wasteful number, since it uses less digits than its factorization.

740743584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 740743584 is about 27216.6049315487. The cubic root of 740743584 is about 904.8070298658.

The spelling of 740743584 in words is "seven hundred forty million, seven hundred forty-three thousand, five hundred eighty-four".