7616870624 has 216 divisors, whose sum is σ = 17971949520. Its totient is φ = 3168844800.

The previous prime is 7616870617. The next prime is 7616870627. The reversal of 7616870624 is 4260786167.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7616870627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85582772 + ... + 85582860.

It is an arithmetic number, because the mean of its divisors is an integer number (83203470).

Almost surely, 2^7616870624 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 7616870624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985974760).

7616870624 is an abundant number, since it is smaller than the sum of its proper divisors (10355078896).

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

7616870624 is a wasteful number, since it uses less digits than its factorization.

7616870624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 47.

The square root of 7616870624 is about 87274.6848977411. The cubic root of 7616870624 is about 1967.5488616023.

The spelling of 7616870624 in words is "seven billion, six hundred sixteen million, eight hundred seventy thousand, six hundred twenty-four".