5683678764192 has 1152 divisors, whose sum is σ = 20048682221568. Its totient is φ = 1561371033600.

The previous prime is 5683678764151. The next prime is 5683678764221. The reversal of 5683678764192 is 2914678763865.

5683678764192 is a `hidden beast` number, since 5 + 6 + 8 + 367 + 8 + 76 + 4 + 192 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5683678764192.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23583729192 + ... + 23583729432.

It is an arithmetic number, because the mean of its divisors is an integer number (17403369984).

Almost surely, 2^{5683678764192} is an apocalyptic number.

5683678764192 is a gapful number since it is divisible by the number (52) 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 5683678764192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024341110784).

5683678764192 is an abundant number, since it is smaller than the sum of its proper divisors (14365003457376).

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

5683678764192 is a wasteful number, since it uses less digits than its factorization.

5683678764192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 564 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 5683678764192 in words is "five trillion, six hundred eighty-three billion, six hundred seventy-eight million, seven hundred sixty-four thousand, one hundred ninety-two".