7507982664 has 672 divisors, whose sum is σ = 27631739520. Its totient is φ = 1892927232.

The previous prime is 7507982593. The next prime is 7507982717. The reversal of 7507982664 is 4662897057.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7507982664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 159744289 + ... + 159744335.

It is an arithmetic number, because the mean of its divisors is an integer number (41118660).

Almost surely, 2^7507982664 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 7507982664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815869760).

7507982664 is an abundant number, since it is smaller than the sum of its proper divisors (20123756856).

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

7507982664 is a wasteful number, since it uses less digits than its factorization.

7507982664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7507982664 is about 86648.6160535758. The cubic root of 7507982664 is about 1958.1280426316.

The spelling of 7507982664 in words is "seven billion, five hundred seven million, nine hundred eighty-two thousand, six hundred sixty-four".