49632612382080 has 2048 divisors, whose sum is σ = 230838535065600. Its totient is φ = 9780013301760.

The previous prime is 49632612382057. The next prime is 49632612382099. The reversal of 49632612382080 is 8028321623694.

49632612382080 is a `hidden beast` number, since 4 + 9 + 6 + 326 + 1 + 238 + 2 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3501905874 + ... + 3501920046.

It is an arithmetic number, because the mean of its divisors is an integer number (112714128450).

Almost surely, 2^{49632612382080} is an apocalyptic number.

49632612382080 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 49632612382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115419267532800).

49632612382080 is an abundant number, since it is smaller than the sum of its proper divisors (181205922683520).

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

49632612382080 is a wasteful number, since it uses less digits than its factorization.

49632612382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49632612382080 in words is "forty-nine trillion, six hundred thirty-two billion, six hundred twelve million, three hundred eighty-two thousand, eighty".