745242624 has 288 divisors, whose sum is σ = 2596758840. Its totient is φ = 201719808.

The previous prime is 745242623. The next prime is 745242647. The reversal of 745242624 is 426242547.

745242624 is a `hidden beast` number, since 7 + 4 + 5 + 24 + 2 + 624 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745242623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39223287 + ... + 39223305.

Almost surely, 2^745242624 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 745242624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298379420).

745242624 is an abundant number, since it is smaller than the sum of its proper divisors (1851516216).

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

745242624 is an equidigital number, since it uses as much as digits as its factorization.

745242624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 745242624 is about 27299.1322939027. The cubic root of 745242624 is about 906.6351699939.

The spelling of 745242624 in words is "seven hundred forty-five million, two hundred forty-two thousand, six hundred twenty-four".