83479420224000 has 1440 divisors, whose sum is σ = 320049520876800. Its totient is φ = 20855737958400.

The previous prime is 83479420223989. The next prime is 83479420224037. The reversal of 83479420224000 is 42202497438.

It is a happy number.

83479420224000 is a `hidden beast` number, since 8 + 34 + 7 + 9 + 4 + 202 + 2 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116104895641 + ... + 116104896359.

It is an arithmetic number, because the mean of its divisors is an integer number (222256611720).

Almost surely, 2^{83479420224000} is an apocalyptic number.

83479420224000 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 83479420224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160024760438400).

83479420224000 is an abundant number, since it is smaller than the sum of its proper divisors (236570100652800).

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

83479420224000 is a wasteful number, since it uses less digits than its factorization.

83479420224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 83479420224000 in words is "eighty-three trillion, four hundred seventy-nine billion, four hundred twenty million, two hundred twenty-four thousand".