745663968 has 432 divisors, whose sum is σ = 2718817920. Its totient is φ = 199874304.

The previous prime is 745663937. The next prime is 745663973. The reversal of 745663968 is 869366547.

745663968 is a `hidden beast` number, since 74 + 566 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7239405 + ... + 7239507.

It is an arithmetic number, because the mean of its divisors is an integer number (6293560).

Almost surely, 2^745663968 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 745663968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359408960).

745663968 is an abundant number, since it is smaller than the sum of its proper divisors (1973153952).

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

745663968 is a wasteful number, since it uses less digits than its factorization.

745663968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 134 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 745663968 is about 27306.8483717913. The cubic root of 745663968 is about 906.8060017503.

The spelling of 745663968 in words is "seven hundred forty-five million, six hundred sixty-three thousand, nine hundred sixty-eight".