745846973568 has 320 divisors, whose sum is σ = 2386192406400. Its totient is φ = 230516471808.

The previous prime is 745846973567. The next prime is 745846973603. The reversal of 745846973568 is 865379648547.

745846973568 is a `hidden beast` number, since 7 + 4 + 58 + 4 + 6 + 9 + 7 + 3 + 568 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 745846973496 and 745846973505.

It is not an unprimeable number, because it can be changed into a prime (745846973561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9218346 + ... + 9298902.

It is an arithmetic number, because the mean of its divisors is an integer number (7456851270).

Almost surely, 2^745846973568 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 745846973568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193096203200).

745846973568 is an abundant number, since it is smaller than the sum of its proper divisors (1640345432832).

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

745846973568 is a wasteful number, since it uses less digits than its factorization.

745846973568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80649 (or 80628 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 745846973568 in words is "seven hundred forty-five billion, eight hundred forty-six million, nine hundred seventy-three thousand, five hundred sixty-eight".