7665396480 has 432 divisors, whose sum is σ = 31911909120. Its totient is φ = 1659543552.

The previous prime is 7665396451. The next prime is 7665396503. The reversal of 7665396480 is 846935667.

7665396480 is a `hidden beast` number, since 7 + 66 + 539 + 6 + 48 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1529659 + ... + 1534661.

It is an arithmetic number, because the mean of its divisors is an integer number (73870160).

Almost surely, 2^7665396480 is an apocalyptic number.

7665396480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7665396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15955954560).

7665396480 is an abundant number, since it is smaller than the sum of its proper divisors (24246512640).

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

7665396480 is a wasteful number, since it uses less digits than its factorization.

7665396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 7665396480 is about 87552.2499996431. The cubic root of 7665396480 is about 1971.7183320601.

The spelling of 7665396480 in words is "seven billion, six hundred sixty-five million, three hundred ninety-six thousand, four hundred eighty".