83678434560 has 576 divisors, whose sum is σ = 342477596160. Its totient is φ = 18951045120.

The previous prime is 83678434559. The next prime is 83678434577. The reversal of 83678434560 is 6543487638.

83678434560 is a `hidden beast` number, since 8 + 3 + 6 + 78 + 4 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83678434497 and 83678434506.

It is a congruent number.

It is an unprimeable number.

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, 27335430 + ... + 27338490.

It is an arithmetic number, because the mean of its divisors is an integer number (594579160).

Almost surely, 2^83678434560 is an apocalyptic number.

83678434560 is a gapful number since it is divisible by the number (80) 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 83678434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171238798080).

83678434560 is an abundant number, since it is smaller than the sum of its proper divisors (258799161600).

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

83678434560 is a wasteful number, since it uses less digits than its factorization.

83678434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 83678434560 in words is "eighty-three billion, six hundred seventy-eight million, four hundred thirty-four thousand, five hundred sixty".