49720276129680 has 480 divisors, whose sum is σ = 183901114575360. Its totient is φ = 11964254515200.

The previous prime is 49720276129637. The next prime is 49720276129687. The reversal of 49720276129680 is 8692167202794.

49720276129680 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 0 + 2 + 7 + 612 + 9 + 6 + 8 + 0 = 666.

49720276129680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (49720276129687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74350567 + ... + 75016313.

It is an arithmetic number, because the mean of its divisors is an integer number (383127322032).

Almost surely, 2^{49720276129680} is an apocalyptic number.

49720276129680 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 49720276129680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91950557287680).

49720276129680 is an abundant number, since it is smaller than the sum of its proper divisors (134180838445680).

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

49720276129680 is a wasteful number, since it uses less digits than its factorization.

49720276129680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665959 (or 665950 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 49720276129680 in words is "forty-nine trillion, seven hundred twenty billion, two hundred seventy-six million, one hundred twenty-nine thousand, six hundred eighty".