7638048000 has 432 divisors, whose sum is σ = 29994898752. Its totient is φ = 1850880000.

The previous prime is 7638047999. The next prime is 7638048007. The reversal of 7638048000 is 8408367.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638048007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3166795 + ... + 3169205.

It is an arithmetic number, because the mean of its divisors is an integer number (69432636).

Almost surely, 2^7638048000 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 7638048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14997449376).

7638048000 is an abundant number, since it is smaller than the sum of its proper divisors (22356850752).

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

7638048000 is a wasteful number, since it uses less digits than its factorization.

7638048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2432 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7638048000 is about 87395.9266785358. The cubic root of 7638048000 is about 1969.3706493686.

The spelling of 7638048000 in words is "seven billion, six hundred thirty-eight million, forty-eight thousand".