7961488000 has 128 divisors (see below), whose sum is σ = 19990563840. Its totient is φ = 3153024000.

The previous prime is 7961487997. The next prime is 7961488009. The reversal of 7961488000 is 8841697.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (7961488009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1645585 + ... + 1650415.

It is an arithmetic number, because the mean of its divisors is an integer number (156176280).

Almost surely, 2^7961488000 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 7961488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9995281920).

7961488000 is an abundant number, since it is smaller than the sum of its proper divisors (12029075840).

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

7961488000 is a wasteful number, since it uses less digits than its factorization.

7961488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963 (or 4941 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 7961488000 is about 89227.1707497217. The cubic root of 7961488000 is about 1996.7855029389.

The spelling of 7961488000 in words is "seven billion, nine hundred sixty-one million, four hundred eighty-eight thousand".