49268047680 has 336 divisors, whose sum is σ = 171981473664. Its totient is φ = 12944240640.

The previous prime is 49268047669. The next prime is 49268047687. The reversal of 49268047680 is 8674086294.

49268047680 is a `hidden beast` number, since 4 + 92 + 6 + 8 + 0 + 476 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49268047687) 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 47 ways as a sum of consecutive naturals, for example, 91068210 + ... + 91068750.

It is an arithmetic number, because the mean of its divisors is an integer number (511849624).

Almost surely, 2^49268047680 is an apocalyptic number.

49268047680 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 49268047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85990736832).

49268047680 is an abundant number, since it is smaller than the sum of its proper divisors (122713425984).

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

49268047680 is a wasteful number, since it uses less digits than its factorization.

49268047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 961 counting only the distinct ones).

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

The spelling of 49268047680 in words is "forty-nine billion, two hundred sixty-eight million, forty-seven thousand, six hundred eighty".