745335152640 has 1344 divisors, whose sum is σ = 2988385021440. Its totient is φ = 170435543040.

The previous prime is 745335152561. The next prime is 745335152647. The reversal of 745335152640 is 46251533547.

745335152640 is a `hidden beast` number, since 7 + 4 + 5 + 33 + 51 + 526 + 40 = 666.

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 (745335152647) 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, 4308295594 + ... + 4308295766.

It is an arithmetic number, because the mean of its divisors is an integer number (2223500760).

Almost surely, 2^745335152640 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 745335152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494192510720).

745335152640 is an abundant number, since it is smaller than the sum of its proper divisors (2243049868800).

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

745335152640 is a wasteful number, since it uses less digits than its factorization.

745335152640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 745335152640 in words is "seven hundred forty-five billion, three hundred thirty-five million, one hundred fifty-two thousand, six hundred forty".