741404664 has 448 divisors, whose sum is σ = 2820464640. Its totient is φ = 176359680.

The previous prime is 741404641. The next prime is 741404687. The reversal of 741404664 is 466404147.

It is an interprime number because it is at equal distance from previous prime (741404641) and next prime (741404687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5837769 + ... + 5837895.

It is an arithmetic number, because the mean of its divisors is an integer number (6295680).

Almost surely, 2^741404664 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 741404664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410232320).

741404664 is an abundant number, since it is smaller than the sum of its proper divisors (2079059976).

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

741404664 is a wasteful number, since it uses less digits than its factorization.

741404664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 741404664 is about 27228.7470148738. The cubic root of 741404664 is about 905.0761162234.

The spelling of 741404664 in words is "seven hundred forty-one million, four hundred four thousand, six hundred sixty-four".