7972689648 has 240 divisors, whose sum is σ = 27675800064. Its totient is φ = 1948907520.

The previous prime is 7972689643. The next prime is 7972689677. The reversal of 7972689648 is 8469862797.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972689643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430761 + ... + 448887.

Almost surely, 2^7972689648 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 7972689648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837900032).

7972689648 is an abundant number, since it is smaller than the sum of its proper divisors (19703110416).

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

7972689648 is a wasteful number, since it uses less digits than its factorization.

7972689648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18180 (or 18167 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 66.

The square root of 7972689648 is about 89289.9190726478. The cubic root of 7972689648 is about 1997.7215426350.

The spelling of 7972689648 in words is "seven billion, nine hundred seventy-two million, six hundred eighty-nine thousand, six hundred forty-eight".