48787476480 has 312 divisors, whose sum is σ = 178022538720. Its totient is φ = 12324372480.

The previous prime is 48787476407. The next prime is 48787476527. The reversal of 48787476480 is 8467478784.

48787476480 is a `hidden beast` number, since 4 + 8 + 7 + 87 + 4 + 76 + 480 = 666.

It is a super-2 number, since 2×48787476480² (a number of 22 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 3495115 + ... + 3509045.

It is an arithmetic number, because the mean of its divisors is an integer number (570585060).

Almost surely, 2^48787476480 is an apocalyptic number.

48787476480 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 48787476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89011269360).

48787476480 is an abundant number, since it is smaller than the sum of its proper divisors (129235062240).

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

48787476480 is a wasteful number, since it uses less digits than its factorization.

48787476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13985 (or 13960 counting only the distinct ones).

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

The spelling of 48787476480 in words is "forty-eight billion, seven hundred eighty-seven million, four hundred seventy-six thousand, four hundred eighty".