83640009132610 has 96 divisors (see below), whose sum is σ = 176949149746032. Its totient is φ = 28379787448320.

The previous prime is 83640009132601. The next prime is 83640009132629. The reversal of 83640009132610 is 1623190004638.

It can be written as a sum of positive squares in 8 ways, for example, as 3456598611249 + 80183410521361 = 1859193^2 + 8954519^2 .

It is a super-2 number, since 2×83640009132610² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35456934 + ... + 37742206.

Almost surely, 2^{83640009132610} is an apocalyptic number.

83640009132610 is an abundant number, since it is smaller than the sum of its proper divisors (93309140613422).

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

83640009132610 is a wasteful number, since it uses less digits than its factorization.

83640009132610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286068 (or 2286061 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The spelling of 83640009132610 in words is "eighty-three trillion, six hundred forty billion, nine million, one hundred thirty-two thousand, six hundred ten".