48787478784 has 324 divisors, whose sum is σ = 155852751600. Its totient is φ = 14666065920.

The previous prime is 48787478777. The next prime is 48787478797.

48787478784 is a `hidden beast` number, since 4 + 8 + 7 + 87 + 478 + 78 + 4 = 666.

48787478784 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38750347 + ... + 38751605.

Almost surely, 2^48787478784 is an apocalyptic number.

48787478784 is a gapful number since it is divisible by the number (44) 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 48787478784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77926375800).

48787478784 is an abundant number, since it is smaller than the sum of its proper divisors (107065272816).

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

48787478784 is a wasteful number, since it uses less digits than its factorization.

48787478784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1414 counting only the distinct ones).

The product of its digits is 629407744, while the sum is 72.

The spelling of 48787478784 in words is "forty-eight billion, seven hundred eighty-seven million, four hundred seventy-eight thousand, seven hundred eighty-four".