32761000050 has 192 divisors, whose sum is σ = 87723492480. Its totient is φ = 8061419520.

The previous prime is 32761000049. The next prime is 32761000073. The reversal of 32761000050 is 5000016723.

It is a super-2 number, since 2×32761000050² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57576166 + ... + 57576734.

It is an arithmetic number, because the mean of its divisors is an integer number (456893190).

Almost surely, 2^32761000050 is an apocalyptic number.

32761000050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32761000050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43861746240).

32761000050 is an abundant number, since it is smaller than the sum of its proper divisors (54962492430).

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

32761000050 is a wasteful number, since it uses less digits than its factorization.

32761000050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

Adding to 32761000050 its reverse (5000016723), we get a palindrome (37761016773).

The spelling of 32761000050 in words is "thirty-two billion, seven hundred sixty-one million, fifty", and thus it is an aban number.