7709480064 has 384 divisors, whose sum is σ = 26585133120. Its totient is φ = 2113413120.

The previous prime is 7709480041. The next prime is 7709480113. The reversal of 7709480064 is 4600849077.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8730567 + ... + 8731449.

Almost surely, 2^7709480064 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 7709480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13292566560).

7709480064 is an abundant number, since it is smaller than the sum of its proper divisors (18875653056).

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

7709480064 is a wasteful number, since it uses less digits than its factorization.

7709480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7709480064 is about 87803.6449357315. The cubic root of 7709480064 is about 1975.4908838244.

The spelling of 7709480064 in words is "seven billion, seven hundred nine million, four hundred eighty thousand, sixty-four".