83699047872 has 448 divisors, whose sum is σ = 276821798400. Its totient is φ = 24579072000.

The previous prime is 83699047871. The next prime is 83699047889. The reversal of 83699047872 is 27874099638.

83699047872 is a `hidden beast` number, since 8 + 3 + 6 + 9 + 90 + 478 + 72 = 666.

It is a super-2 number, since 2×83699047872² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83699047871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164437954 + ... + 164438462.

It is an arithmetic number, because the mean of its divisors is an integer number (617905800).

Almost surely, 2^83699047872 is an apocalyptic number.

83699047872 is a gapful number since it is divisible by the number (82) 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 83699047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138410899200).

83699047872 is an abundant number, since it is smaller than the sum of its proper divisors (193122750528).

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

83699047872 is a wasteful number, since it uses less digits than its factorization.

83699047872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 83699047872 in words is "eighty-three billion, six hundred ninety-nine million, forty-seven thousand, eight hundred seventy-two".