48320782272 has 336 divisors, whose sum is σ = 164967708672. Its totient is φ = 13232056320.

The previous prime is 48320782249. The next prime is 48320782277. The reversal of 48320782272 is 27228702384.

48320782272 is a `hidden beast` number, since 483 + 20 + 7 + 82 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48320782277) 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, 13372338 + ... + 13375950.

Almost surely, 2^48320782272 is an apocalyptic number.

48320782272 is a gapful number since it is divisible by the number (42) 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 48320782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82483854336).

48320782272 is an abundant number, since it is smaller than the sum of its proper divisors (116646926400).

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

48320782272 is a wasteful number, since it uses less digits than its factorization.

48320782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3776 (or 3763 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 48320782272 in words is "forty-eight billion, three hundred twenty million, seven hundred eighty-two thousand, two hundred seventy-two".