83076068448 has 192 divisors, whose sum is σ = 253094284800. Its totient is φ = 26461416960.

The previous prime is 83076068399. The next prime is 83076068459. The reversal of 83076068448 is 84486067038.

83076068448 is a `hidden beast` number, since 83 + 0 + 7 + 60 + 68 + 448 = 666.

It is a super-2 number, since 2×83076068448² (a number of 23 digits) contains 22 as substring.

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 = 83076068394 and 83076068403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32211223 + ... + 32213801.

It is an arithmetic number, because the mean of its divisors is an integer number (1318199400).

Almost surely, 2^83076068448 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 83076068448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126547142400).

83076068448 is an abundant number, since it is smaller than the sum of its proper divisors (170018216352).

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

83076068448 is a wasteful number, since it uses less digits than its factorization.

83076068448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 4228 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 83076068448 in words is "eighty-three billion, seventy-six million, sixty-eight thousand, four hundred forty-eight".