83479406868 has 192 divisors, whose sum is σ = 255415910400. Its totient is φ = 23245211520.

The previous prime is 83479406849. The next prime is 83479406903. The reversal of 83479406868 is 86860497438.

83479406868 is a `hidden beast` number, since 8 + 3 + 479 + 40 + 68 + 68 = 666.

It is a super-2 number, since 2×83479406868² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3431893 + ... + 3456131.

It is an arithmetic number, because the mean of its divisors is an integer number (1330291200).

Almost surely, 2^83479406868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83479406868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127707955200).

83479406868 is an abundant number, since it is smaller than the sum of its proper divisors (171936503532).

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

83479406868 is a wasteful number, since it uses less digits than its factorization.

83479406868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24499 (or 24491 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 83479406868 in words is "eighty-three billion, four hundred seventy-nine million, four hundred six thousand, eight hundred sixty-eight".