745586519040 has 1056 divisors, whose sum is σ = 2949769315584. Its totient is φ = 179079413760.

The previous prime is 745586519033. The next prime is 745586519053. The reversal of 745586519040 is 40915685547.

It is a happy number.

745586519040 is a `hidden beast` number, since 7 + 4 + 5 + 5 + 86 + 519 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 2148664147 + ... + 2148664493.

Almost surely, 2^745586519040 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 745586519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474884657792).

745586519040 is an abundant number, since it is smaller than the sum of its proper divisors (2204182796544).

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

745586519040 is a wasteful number, since it uses less digits than its factorization.

745586519040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 745586519040 in words is "seven hundred forty-five billion, five hundred eighty-six million, five hundred nineteen thousand, forty".