49929972632064 has 640 divisors, whose sum is σ = 169815051141120. Its totient is φ = 14189438435328.

The previous prime is 49929972632039. The next prime is 49929972632077. The reversal of 49929972632064 is 46023627992994.

49929972632064 is a `hidden beast` number, since 4 + 9 + 9 + 299 + 7 + 2 + 6 + 320 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 49929972631983 and 49929972632001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27033010789 + ... + 27033012635.

It is an arithmetic number, because the mean of its divisors is an integer number (265336017408).

Almost surely, 2^{49929972632064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49929972632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84907525570560).

49929972632064 is an abundant number, since it is smaller than the sum of its proper divisors (119885078509056).

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

49929972632064 is a wasteful number, since it uses less digits than its factorization.

49929972632064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3203 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 49929972632064 in words is "forty-nine trillion, nine hundred twenty-nine billion, nine hundred seventy-two million, six hundred thirty-two thousand, sixty-four".