7960481984 has 336 divisors, whose sum is σ = 21404275200. Its totient is φ = 2901878784.

The previous prime is 7960481981. The next prime is 7960481993. The reversal of 7960481984 is 4891840697.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (7960481981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33307337 + ... + 33307575.

It is an arithmetic number, because the mean of its divisors is an integer number (63703200).

Almost surely, 2^7960481984 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 7960481984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702137600).

7960481984 is an abundant number, since it is smaller than the sum of its proper divisors (13443793216).

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

7960481984 is a wasteful number, since it uses less digits than its factorization.

7960481984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The square root of 7960481984 is about 89221.5331856610. The cubic root of 7960481984 is about 1996.7013945921.

The spelling of 7960481984 in words is "seven billion, nine hundred sixty million, four hundred eighty-one thousand, nine hundred eighty-four".