48778447680 has 336 divisors, whose sum is σ = 177071731200. Its totient is φ = 12290641920.

The previous prime is 48778447639. The next prime is 48778447681. The reversal of 48778447680 is 8674487784.

48778447680 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 84 + 476 + 80 = 666.

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 (48778447681) 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, 26209950 + ... + 26211810.

It is an arithmetic number, because the mean of its divisors is an integer number (526999200).

Almost surely, 2^48778447680 is an apocalyptic number.

48778447680 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 48778447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88535865600).

48778447680 is an abundant number, since it is smaller than the sum of its proper divisors (128293283520).

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

48778447680 is a wasteful number, since it uses less digits than its factorization.

48778447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 48778447680 in words is "forty-eight billion, seven hundred seventy-eight million, four hundred forty-seven thousand, six hundred eighty".