82833636000 has 96 divisors (see below), whose sum is σ = 271363030848. Its totient is φ = 22088966400.

The previous prime is 82833635971. The next prime is 82833636001. The reversal of 82833636000 is 63633828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×82833636000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82833636000.

It is not an unprimeable number, because it can be changed into a prime (82833636001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3439402 + ... + 3463401.

It is an arithmetic number, because the mean of its divisors is an integer number (2826698238).

Almost surely, 2^82833636000 is an apocalyptic number.

82833636000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82833636000 is an abundant number, since it is smaller than the sum of its proper divisors (188529394848).

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

82833636000 is a wasteful number, since it uses less digits than its factorization.

82833636000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6902831 (or 6902813 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 82833636000 in words is "eighty-two billion, eight hundred thirty-three million, six hundred thirty-six thousand".