7921488960 has 1008 divisors, whose sum is σ = 35994441600. Its totient is φ = 1646023680.

The previous prime is 7921488943. The next prime is 7921488977. The reversal of 7921488960 is 698841297.

7921488960 is a `hidden beast` number, since 79 + 2 + 1 + 488 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7921488943) and next prime (7921488977).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 7921488897 and 7921488906.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 720135355 + ... + 720135365.

Almost surely, 2^7921488960 is an apocalyptic number.

7921488960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7921488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17997220800).

7921488960 is an abundant number, since it is smaller than the sum of its proper divisors (28072952640).

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

7921488960 is an frugal number, since it uses more digits than its factorization.

7921488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7921488960 is about 89002.7469239012. The cubic root of 7921488960 is about 1993.4358931532.

It can be divided in two parts, 792148 and 8960, that added together give a palindrome (801108).

The spelling of 7921488960 in words is "seven billion, nine hundred twenty-one million, four hundred eighty-eight thousand, nine hundred sixty".