48074906880 has 1296 divisors, whose sum is σ = 225615411840. Its totient is φ = 9196830720.

The previous prime is 48074906879. The next prime is 48074906903. The reversal of 48074906880 is 8860947084.

48074906880 is a `hidden beast` number, since 480 + 74 + 90 + 6 + 8 + 8 + 0 = 666.

It is a super-3 number, since 3×48074906880³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126846531 + ... + 126846909.

Almost surely, 2^48074906880 is an apocalyptic number.

48074906880 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 48074906880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112807705920).

48074906880 is an abundant number, since it is smaller than the sum of its proper divisors (177540504960).

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

48074906880 is a wasteful number, since it uses less digits than its factorization.

48074906880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48074906880 in words is "forty-eight billion, seventy-four million, nine hundred six thousand, eight hundred eighty".