49997257632 has 144 divisors (see below), whose sum is σ = 162570058560. Its totient is φ = 14277989376.

The previous prime is 49997257631. The next prime is 49997257649. The reversal of 49997257632 is 23675279994.

49997257632 is a `hidden beast` number, since 499 + 9 + 72 + 5 + 76 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 49997257632.

It is not an unprimeable number, because it can be changed into a prime (49997257631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5303419 + ... + 5312837.

It is an arithmetic number, because the mean of its divisors is an integer number (1128958740).

Almost surely, 2^49997257632 is an apocalyptic number.

49997257632 is a gapful number since it is divisible by the number (42) 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 49997257632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285029280).

49997257632 is an abundant number, since it is smaller than the sum of its proper divisors (112572800928).

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

49997257632 is a wasteful number, since it uses less digits than its factorization.

49997257632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12075 (or 12064 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 49997257632 in words is "forty-nine billion, nine hundred ninety-seven million, two hundred fifty-seven thousand, six hundred thirty-two".