49674561718320 has 2880 divisors, whose sum is σ = 227285492797440. Its totient is φ = 9924913152000.

The previous prime is 49674561718303. The next prime is 49674561718343. The reversal of 49674561718320 is 2381716547694.

49674561718320 is a `hidden beast` number, since 4 + 9 + 6 + 7 + 4 + 5 + 617 + 1 + 8 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 575 ways as a sum of consecutive naturals, for example, 83768231944 + ... + 83768232536.

It is an arithmetic number, because the mean of its divisors is an integer number (78918573888).

It is a 1-persistent number, because it is pandigital, but 2⋅49674561718320 = 99349123436640 is not.

Almost surely, 2^{49674561718320} is an apocalyptic number.

49674561718320 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 49674561718320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113642746398720).

49674561718320 is an abundant number, since it is smaller than the sum of its proper divisors (177610931079120).

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

49674561718320 is a wasteful number, since it uses less digits than its factorization.

49674561718320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 49674561718320 in words is "forty-nine trillion, six hundred seventy-four billion, five hundred sixty-one million, seven hundred eighteen thousand, three hundred twenty".