7998318432 has 540 divisors, whose sum is σ = 27704878740. Its totient is φ = 2256284160.

The previous prime is 7998318359. The next prime is 7998318437. The reversal of 7998318432 is 2348138997.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7998318437) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 258010257 + ... + 258010287.

It is an arithmetic number, because the mean of its divisors is an integer number (51305331).

Almost surely, 2^7998318432 is an apocalyptic number.

7998318432 is a gapful number since it is divisible by the number (72) 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 7998318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852439370).

7998318432 is an abundant number, since it is smaller than the sum of its proper divisors (19706560308).

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

7998318432 is a wasteful number, since it uses less digits than its factorization.

7998318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 68 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 7998318432 is about 89433.3183550739. The cubic root of 7998318432 is about 1999.8598595139.

The spelling of 7998318432 in words is "seven billion, nine hundred ninety-eight million, three hundred eighteen thousand, four hundred thirty-two".