83679099888384 has 2160 divisors, whose sum is σ = 343070906159520. Its totient is φ = 19940958535680.

The previous prime is 83679099888379. The next prime is 83679099888401. The reversal of 83679099888384 is 48388899097638.

83679099888384 is a `hidden beast` number, since 8 + 3 + 67 + 9 + 0 + 9 + 98 + 88 + 384 = 666.

It is a super-2 number, since 2×83679099888384² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 83679099888294 and 83679099888303.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25136405632 + ... + 25136408960.

It is an arithmetic number, because the mean of its divisors is an integer number (158829123222).

Almost surely, 2^{83679099888384} is an apocalyptic number.

83679099888384 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 83679099888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171535453079760).

83679099888384 is an abundant number, since it is smaller than the sum of its proper divisors (259391806271136).

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

83679099888384 is a wasteful number, since it uses less digits than its factorization.

83679099888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 36118462464, while the sum is 90.

The spelling of 83679099888384 in words is "eighty-three trillion, six hundred seventy-nine billion, ninety-nine million, eight hundred eighty-eight thousand, three hundred eighty-four".