7481557920 has 96 divisors (see below), whose sum is σ = 23607158400. Its totient is φ = 1991674880.

The previous prime is 7481557907. The next prime is 7481557997. The reversal of 7481557920 is 297551847.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7481557920.

It is an unprimeable number.

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, 274510 + ... + 300530.

It is an arithmetic number, because the mean of its divisors is an integer number (245907900).

Almost surely, 2^7481557920 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 7481557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11803579200).

7481557920 is an abundant number, since it is smaller than the sum of its proper divisors (16125600480).

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

7481557920 is a wasteful number, since it uses less digits than its factorization.

7481557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26638 (or 26630 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The square root of 7481557920 is about 86495.9994450610. Note that the first 3 decimals coincide. The cubic root of 7481557920 is about 1955.8280970201.

The spelling of 7481557920 in words is "seven billion, four hundred eighty-one million, five hundred fifty-seven thousand, nine hundred twenty".