745763578560 has 3024 divisors, whose sum is σ = 3672467705088. Its totient is φ = 140908584960.

The previous prime is 745763578531. The next prime is 745763578613. The reversal of 745763578560 is 65875367547.

It is a happy number.

745763578560 is a `hidden beast` number, since 7 + 4 + 5 + 7 + 6 + 3 + 578 + 56 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11130799647 + ... + 11130799713.

Almost surely, 2^745763578560 is an apocalyptic number.

745763578560 is a gapful number since it is divisible by the number (70) 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 745763578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836233852544).

745763578560 is an abundant number, since it is smaller than the sum of its proper divisors (2926704126528).

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

745763578560 is a wasteful number, since it uses less digits than its factorization.

745763578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 745763578560 in words is "seven hundred forty-five billion, seven hundred sixty-three million, five hundred seventy-eight thousand, five hundred sixty".