742664768400 has 405 divisors, whose sum is σ = 2636526705267. Its totient is φ = 193590259200.

The previous prime is 742664768383. The next prime is 742664768401. The reversal of 742664768400 is 4867466247.

The square root of 742664768400 is 861780.

It is a perfect power (a square), and thus also a powerful number.

742664768400 is a `hidden beast` number, since 74 + 2 + 66 + 476 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5594441616 + 737070326784 = 74796^2 + 858528^2 .

It is not an unprimeable number, because it can be changed into a prime (742664768401) 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 80 ways as a sum of consecutive naturals, for example, 2740460265 + ... + 2740460535.

Almost surely, 2^742664768400 is an apocalyptic number.

742664768400 is the 861780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742664768400

742664768400 is an abundant number, since it is smaller than the sum of its proper divisors (1893861936867).

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

742664768400 is a wasteful number, since it uses less digits than its factorization.

742664768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 742664768400 in words is "seven hundred forty-two billion, six hundred sixty-four million, seven hundred sixty-eight thousand, four hundred".