48780642906 has 64 divisors (see below), whose sum is σ = 112925260800. Its totient is φ = 15591268800.

The previous prime is 48780642901. The next prime is 48780642907. The reversal of 48780642906 is 60924608784.

48780642906 is a `hidden beast` number, since 487 + 80 + 64 + 29 + 0 + 6 = 666.

It is a super-2 number, since 2×48780642906² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (48780642901) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 48796 + ... + 316136.

It is an arithmetic number, because the mean of its divisors is an integer number (1764457200).

Almost surely, 2^48780642906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48780642906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56462630400).

48780642906 is an abundant number, since it is smaller than the sum of its proper divisors (64144617894).

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

48780642906 is a wasteful number, since it uses less digits than its factorization.

48780642906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267492 (or 267486 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48780642906 in words is "forty-eight billion, seven hundred eighty million, six hundred forty-two thousand, nine hundred six".