49640821195680 has 2304 divisors, whose sum is σ = 208842412326912. Its totient is φ = 10576355328000.

The previous prime is 49640821195657. The next prime is 49640821195729. The reversal of 49640821195680 is 8659112804694.

49640821195680 is a `hidden beast` number, since 4 + 9 + 6 + 40 + 8 + 21 + 1 + 9 + 568 + 0 = 666.

It is a super-2 number, since 2×49640821195680² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 71839104135 + ... + 71839104825.

It is an arithmetic number, because the mean of its divisors is an integer number (90643408128).

Almost surely, 2^{49640821195680} is an apocalyptic number.

49640821195680 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 49640821195680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104421206163456).

49640821195680 is an abundant number, since it is smaller than the sum of its proper divisors (159201591131232).

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

49640821195680 is a wasteful number, since it uses less digits than its factorization.

49640821195680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 49640821195680 in words is "forty-nine trillion, six hundred forty billion, eight hundred twenty-one million, one hundred ninety-five thousand, six hundred eighty".