49407068880 has 240 divisors, whose sum is σ = 184279008960. Its totient is φ = 12161650176.

The previous prime is 49407068861. The next prime is 49407068911. The reversal of 49407068880 is 8886070494.

49407068880 is a `hidden beast` number, since 494 + 0 + 70 + 6 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 297367 + ... + 432713.

It is an arithmetic number, because the mean of its divisors is an integer number (767829204).

Almost surely, 2^49407068880 is an apocalyptic number.

49407068880 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 49407068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92139504480).

49407068880 is an abundant number, since it is smaller than the sum of its proper divisors (134871940080).

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

49407068880 is a wasteful number, since it uses less digits than its factorization.

49407068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135395 (or 135370 counting only the distinct ones).

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

The spelling of 49407068880 in words is "forty-nine billion, four hundred seven million, sixty-eight thousand, eight hundred eighty".