741966624 has 360 divisors, whose sum is σ = 2615181660. Its totient is φ = 199148544.

The previous prime is 741966613. The next prime is 741966703. The reversal of 741966624 is 426669147.

It can be written as a sum of positive squares in 2 ways, for example, as 700131600 + 41835024 = 26460^2 + 6468^2 .

It is a super-2 number, since 2×741966624² = 1101028942259914752, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 741966624.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 20053134 + ... + 20053170.

Almost surely, 2^741966624 is an apocalyptic number.

741966624 is a gapful number since it is divisible by the number (74) 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 741966624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307590830).

741966624 is an abundant number, since it is smaller than the sum of its proper divisors (1873215036).

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

741966624 is a wasteful number, since it uses less digits than its factorization.

741966624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 741966624 is about 27239.0643011099. The cubic root of 741966624 is about 905.3047309725.

The spelling of 741966624 in words is "seven hundred forty-one million, nine hundred sixty-six thousand, six hundred twenty-four".