745875648 has 336 divisors, whose sum is σ = 2668584960. Its totient is φ = 203309568.

The previous prime is 745875643. The next prime is 745875653. The reversal of 745875648 is 846578547.

745875648 is a `hidden beast` number, since 7 + 4 + 587 + 56 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (745875643) and next prime (745875653).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 745875594 and 745875603.

It is not an unprimeable number, because it can be changed into a prime (745875643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1947265 + ... + 1947647.

Almost surely, 2^745875648 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 745875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334292480).

745875648 is an abundant number, since it is smaller than the sum of its proper divisors (1922709312).

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

745875648 is a wasteful number, since it uses less digits than its factorization.

745875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 745875648 is about 27310.7240475239. The cubic root of 745875648 is about 906.8918020310.

The spelling of 745875648 in words is "seven hundred forty-five million, eight hundred seventy-five thousand, six hundred forty-eight".