7978981248 has 512 divisors, whose sum is σ = 28200960000. Its totient is φ = 2219083776.

The previous prime is 7978981223. The next prime is 7978981253. The reversal of 7978981248 is 8421898797.

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.

Its product of digits (16257024) is a multiple of the sum of its prime divisors (192).

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 63 ways as a sum of consecutive naturals, for example, 62826561 + ... + 62826687.

It is an arithmetic number, because the mean of its divisors is an integer number (55080000).

Almost surely, 2^7978981248 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 7978981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480000).

7978981248 is an abundant number, since it is smaller than the sum of its proper divisors (20221978752).

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

7978981248 is a wasteful number, since it uses less digits than its factorization.

7978981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 192 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The square root of 7978981248 is about 89325.1434255775. The cubic root of 7978981248 is about 1998.2469011045.

The spelling of 7978981248 in words is "seven billion, nine hundred seventy-eight million, nine hundred eighty-one thousand, two hundred forty-eight".