83632717350 has 432 divisors, whose sum is σ = 290326440240. Its totient is φ = 17643225600.

The previous prime is 83632717331. The next prime is 83632717351. The reversal of 83632717350 is 5371723638.

83632717350 is a `hidden beast` number, since 8 + 3 + 632 + 7 + 1 + 7 + 3 + 5 + 0 = 666.

It is a super-2 number, since 2×83632717350² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 83632717296 and 83632717305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83632717351) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 11175610 + ... + 11183090.

It is an arithmetic number, because the mean of its divisors is an integer number (672051945).

Almost surely, 2^83632717350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83632717350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145163220120).

83632717350 is an abundant number, since it is smaller than the sum of its proper divisors (206693722890).

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

83632717350 is a wasteful number, since it uses less digits than its factorization.

83632717350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7542 (or 7511 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 83632717350 in words is "eighty-three billion, six hundred thirty-two million, seven hundred seventeen thousand, three hundred fifty".