741074572800 has 960 divisors, whose sum is σ = 2875907358720. Its totient is φ = 188863488000.

The previous prime is 741074572789. The next prime is 741074572801. The reversal of 741074572800 is 8275470147.

741074572800 is a `hidden beast` number, since 7 + 4 + 1 + 0 + 74 + 572 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (741074572801) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 643852225 + ... + 643853375.

It is an arithmetic number, because the mean of its divisors is an integer number (2995736832).

Almost surely, 2^741074572800 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 741074572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437953679360).

741074572800 is an abundant number, since it is smaller than the sum of its proper divisors (2134832785920).

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

741074572800 is an equidigital number, since it uses as much as digits as its factorization.

741074572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 741074572800 in words is "seven hundred forty-one billion, seventy-four million, five hundred seventy-two thousand, eight hundred".