83436540264 has 1008 divisors, whose sum is σ = 318183667200. Its totient is φ = 20369543040.

The previous prime is 83436540227. The next prime is 83436540281. The reversal of 83436540264 is 46204563438.

83436540264 is a `hidden beast` number, since 8 + 3 + 43 + 6 + 540 + 2 + 64 = 666.

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 251 ways as a sum of consecutive naturals, for example, 656980569 + ... + 656980695.

It is an arithmetic number, because the mean of its divisors is an integer number (315658400).

Almost surely, 2^83436540264 is an apocalyptic number.

83436540264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83436540264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159091833600).

83436540264 is an abundant number, since it is smaller than the sum of its proper divisors (234747126936).

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

83436540264 is a wasteful number, since it uses less digits than its factorization.

83436540264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 83436540264 in words is "eighty-three billion, four hundred thirty-six million, five hundred forty thousand, two hundred sixty-four".