82633703508 has 72 divisors (see below), whose sum is σ = 216135901800. Its totient is φ = 26588169216.

The previous prime is 82633703507. The next prime is 82633703533. The reversal of 82633703508 is 80530733628.

82633703508 is a `hidden beast` number, since 8 + 2 + 633 + 7 + 0 + 3 + 5 + 0 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39628068624 + 43005634884 = 199068^2 + 207378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82633703507) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5932360 + ... + 5946272.

It is an arithmetic number, because the mean of its divisors is an integer number (3001887525).

Almost surely, 2^82633703508 is an apocalyptic number.

It is an amenable number.

82633703508 is an abundant number, since it is smaller than the sum of its proper divisors (133502198292).

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

82633703508 is a wasteful number, since it uses less digits than its factorization.

82633703508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19641 (or 19636 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 82633703508 in words is "eighty-two billion, six hundred thirty-three million, seven hundred three thousand, five hundred eight".