49636388880 has 480 divisors, whose sum is σ = 191412748800. Its totient is φ = 11425370112.

The previous prime is 49636388869. The next prime is 49636388881. The reversal of 49636388880 is 8888363694.

49636388880 is a `hidden beast` number, since 496 + 3 + 63 + 8 + 8 + 8 + 80 = 666.

It is a super-2 number, since 2×49636388880² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (49636388881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14047594 + ... + 14051126.

It is an arithmetic number, because the mean of its divisors is an integer number (398776560).

Almost surely, 2^49636388880 is an apocalyptic number.

49636388880 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 49636388880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95706374400).

49636388880 is an abundant number, since it is smaller than the sum of its proper divisors (141776359920).

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

49636388880 is a wasteful number, since it uses less digits than its factorization.

49636388880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

It can be divided in two parts, 49636 and 388880, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 49636388880 in words is "forty-nine billion, six hundred thirty-six million, three hundred eighty-eight thousand, eight hundred eighty".