7497281920 has 128 divisors (see below), whose sum is σ = 18321811200. Its totient is φ = 2932930560.

The previous prime is 7497281903. The next prime is 7497281923. The reversal of 7497281920 is 291827947.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7497281923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6315567 + ... + 6316753.

It is an arithmetic number, because the mean of its divisors is an integer number (143139150).

Almost surely, 2^7497281920 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 7497281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160905600).

7497281920 is an abundant number, since it is smaller than the sum of its proper divisors (10824529280).

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

7497281920 is a wasteful number, since it uses less digits than its factorization.

7497281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 49.

The square root of 7497281920 is about 86586.8461141760. The cubic root of 7497281920 is about 1957.1973270476.

The spelling of 7497281920 in words is "seven billion, four hundred ninety-seven million, two hundred eighty-one thousand, nine hundred twenty".