75320920224 has 720 divisors, whose sum is σ = 257471520768. Its totient is φ = 21555072000.

The previous prime is 75320920187. The next prime is 75320920231. The reversal of 75320920224 is 42202902357.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 593078049 + ... + 593078175.

Almost surely, 2^75320920224 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 75320920224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128735760384).

75320920224 is an abundant number, since it is smaller than the sum of its proper divisors (182150600544).

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

75320920224 is a wasteful number, since it uses less digits than its factorization.

75320920224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 75320920224 in words is "seventy-five billion, three hundred twenty million, nine hundred twenty thousand, two hundred twenty-four".