49724633088 has 624 divisors, whose sum is σ = 167919431680. Its totient is φ = 14046068736.

The previous prime is 49724633083. The next prime is 49724633117. The reversal of 49724633088 is 88033642794.

49724633088 is a `hidden beast` number, since 4 + 9 + 72 + 463 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is not an unprimeable number, because it can be changed into a prime (49724633081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391532481 + ... + 391532607.

Almost surely, 2^49724633088 is an apocalyptic number.

49724633088 is a gapful number since it is divisible by the number (48) 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 49724633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83959715840).

49724633088 is an abundant number, since it is smaller than the sum of its proper divisors (118194798592).

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

49724633088 is a wasteful number, since it uses less digits than its factorization.

49724633088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 49724633088 in words is "forty-nine billion, seven hundred twenty-four million, six hundred thirty-three thousand, eighty-eight".