7725534480 has 120 divisors (see below), whose sum is σ = 26117108160. Its totient is φ = 2046470400.

The previous prime is 7725534461. The next prime is 7725534497. The reversal of 7725534480 is 844355277.

7725534480 is a `hidden beast` number, since 7 + 72 + 5 + 534 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73191 + ... + 144249.

It is an arithmetic number, because the mean of its divisors is an integer number (217642568).

Almost surely, 2^7725534480 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 7725534480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13058554080).

7725534480 is an abundant number, since it is smaller than the sum of its proper divisors (18391573680).

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

7725534480 is a wasteful number, since it uses less digits than its factorization.

7725534480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71229 (or 71220 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 7725534480 is about 87895.0196541306. The cubic root of 7725534480 is about 1976.8612037713.

The spelling of 7725534480 in words is "seven billion, seven hundred twenty-five million, five hundred thirty-four thousand, four hundred eighty".