745632000 has 288 divisors, whose sum is σ = 2754984960. Its totient is φ = 198604800.

The previous prime is 745631983. The next prime is 745632023. The reversal of 745632000 is 236547.

It is a happy number.

745632000 is a `hidden beast` number, since 7 + 456 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863569 + ... + 864431.

It is an arithmetic number, because the mean of its divisors is an integer number (9565920).

Almost surely, 2^745632000 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 745632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377492480).

745632000 is an abundant number, since it is smaller than the sum of its proper divisors (2009352960).

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

745632000 is an equidigital number, since it uses as much as digits as its factorization.

745632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 745632000 is about 27306.2630178500. The cubic root of 745632000 is about 906.7930427456.

Adding to 745632000 its reverse (236547), we get a palindrome (745868547).

The spelling of 745632000 in words is "seven hundred forty-five million, six hundred thirty-two thousand".