7948889424 has 240 divisors, whose sum is σ = 27264227200. Its totient is φ = 2171930112.

The previous prime is 7948889411. The next prime is 7948889441. The reversal of 7948889424 is 4249888497.

7948889424 is a `hidden beast` number, since 79 + 488 + 89 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

7948889424 is a modest number, since divided by 89424 gives 79488 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1597212 + ... + 1602180.

Almost surely, 2^7948889424 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 7948889424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13632113600).

7948889424 is an abundant number, since it is smaller than the sum of its proper divisors (19315337776).

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

7948889424 is a wasteful number, since it uses less digits than its factorization.

7948889424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5004 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 7948889424 is about 89156.5444821635. The cubic root of 7948889424 is about 1995.7316825466.

The spelling of 7948889424 in words is "seven billion, nine hundred forty-eight million, eight hundred eighty-nine thousand, four hundred twenty-four".