49029961968 has 240 divisors, whose sum is σ = 150063207840. Its totient is φ = 14853888000.

The previous prime is 49029961963. The next prime is 49029961991. The reversal of 49029961968 is 86916992094.

49029961968 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 9 + 9 + 619 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49029961963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39893578 + ... + 39894806.

It is an arithmetic number, because the mean of its divisors is an integer number (625263366).

Almost surely, 2^49029961968 is an apocalyptic number.

49029961968 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 49029961968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75031603920).

49029961968 is an abundant number, since it is smaller than the sum of its proper divisors (101033245872).

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

49029961968 is a wasteful number, since it uses less digits than its factorization.

49029961968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 63.

The spelling of 49029961968 in words is "forty-nine billion, twenty-nine million, nine hundred sixty-one thousand, nine hundred sixty-eight".