7545445600 has 288 divisors, whose sum is σ = 23097021696. Its totient is φ = 2338406400.

The previous prime is 7545445577. The next prime is 7545445639. The reversal of 7545445600 is 65445457.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21375024 + ... + 21375376.

It is an arithmetic number, because the mean of its divisors is an integer number (80197992).

Almost surely, 2^7545445600 is an apocalyptic number.

7545445600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7545445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548510848).

7545445600 is an abundant number, since it is smaller than the sum of its proper divisors (15551576096).

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

7545445600 is a wasteful number, since it uses less digits than its factorization.

7545445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 40.

The square root of 7545445600 is about 86864.5244043850. The cubic root of 7545445600 is about 1961.3794953224.

The spelling of 7545445600 in words is "seven billion, five hundred forty-five million, four hundred forty-five thousand, six hundred".