7665084480 has 224 divisors, whose sum is σ = 25116739200. Its totient is φ = 1979269120.

The previous prime is 7665084467. The next prime is 7665084487. The reversal of 7665084480 is 844805667.

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

It is not an unprimeable number, because it can be changed into a prime (7665084487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5863987 + ... + 5865293.

It is an arithmetic number, because the mean of its divisors is an integer number (112128300).

Almost surely, 2^7665084480 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 7665084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558369600).

7665084480 is an abundant number, since it is smaller than the sum of its proper divisors (17451654720).

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

7665084480 is a wasteful number, since it uses less digits than its factorization.

7665084480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 7665084480 is about 87550.4681883541. The cubic root of 7665084480 is about 1971.6915804773.

The spelling of 7665084480 in words is "seven billion, six hundred sixty-five million, eighty-four thousand, four hundred eighty".