745624000 has 224 divisors, whose sum is σ = 2077882560. Its totient is φ = 262656000.

The previous prime is 745623953. The next prime is 745624001. The reversal of 745624000 is 426547.

It is a self number, because there is not a number n which added to its sum of digits gives 745624000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745624001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3255886 + ... + 3256114.

Almost surely, 2^745624000 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 745624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038941280).

745624000 is an abundant number, since it is smaller than the sum of its proper divisors (1332258560).

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

745624000 is a wasteful number, since it uses less digits than its factorization.

745624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 745624000 is about 27306.1165309167. The cubic root of 745624000 is about 906.7897996935.

The spelling of 745624000 in words is "seven hundred forty-five million, six hundred twenty-four thousand".