49763947968 has 280 divisors, whose sum is σ = 170733516800. Its totient is φ = 14037484032.

The previous prime is 49763947967. The next prime is 49763947997. The reversal of 49763947968 is 86974936794.

49763947968 is a `hidden beast` number, since 4 + 97 + 6 + 3 + 9 + 479 + 68 = 666.

It is a super-2 number, since 2×49763947968² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 49763947896 and 49763947905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49763947967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2858073 + ... + 2875431.

It is an arithmetic number, because the mean of its divisors is an integer number (609762560).

Almost surely, 2^49763947968 is an apocalyptic number.

49763947968 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 49763947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85366758400).

49763947968 is an abundant number, since it is smaller than the sum of its proper divisors (120969568832).

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

49763947968 is a wasteful number, since it uses less digits than its factorization.

49763947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17469 (or 17450 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 49763947968 in words is "forty-nine billion, seven hundred sixty-three million, nine hundred forty-seven thousand, nine hundred sixty-eight".