48648637440 has 396 divisors, whose sum is σ = 182559549744. Its totient is φ = 11973132288.

The previous prime is 48648637421. The next prime is 48648637511. The reversal of 48648637440 is 4473684684.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7784397 + ... + 7790643.

It is an arithmetic number, because the mean of its divisors is an integer number (461008964).

Almost surely, 2^48648637440 is an apocalyptic number.

48648637440 is a gapful number since it is divisible by the number (40) 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 48648637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91279774872).

48648637440 is an abundant number, since it is smaller than the sum of its proper divisors (133910912304).

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

48648637440 is a wasteful number, since it uses less digits than its factorization.

48648637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6304 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 48648637440 in words is "forty-eight billion, six hundred forty-eight million, six hundred thirty-seven thousand, four hundred forty".