7924668480 has 224 divisors, whose sum is σ = 28042819200. Its totient is φ = 2106722304.

The previous prime is 7924668457. The next prime is 7924668481. The reversal of 7924668480 is 848664297.

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

It is not an unprimeable number, because it can be changed into a prime (7924668481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3221491 + ... + 3223949.

Almost surely, 2^7924668480 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 7924668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021409600).

7924668480 is an abundant number, since it is smaller than the sum of its proper divisors (20118150720).

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

7924668480 is a wasteful number, since it uses less digits than its factorization.

7924668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 7924668480 is about 89020.6070525246. The cubic root of 7924668480 is about 1993.7025653033.

The spelling of 7924668480 in words is "seven billion, nine hundred twenty-four million, six hundred sixty-eight thousand, four hundred eighty".