83479657003776 has 1152 divisors, whose sum is σ = 290911341772800. Its totient is φ = 23355351613440.

The previous prime is 83479657003759. The next prime is 83479657003807. The reversal of 83479657003776 is 67730075697438.

83479657003776 is a `hidden beast` number, since 8 + 3 + 47 + 9 + 6 + 570 + 0 + 3 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8217305385 + ... + 8217315543.

It is an arithmetic number, because the mean of its divisors is an integer number (252527206400).

Almost surely, 2^{83479657003776} 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 83479657003776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145455670886400).

83479657003776 is an abundant number, since it is smaller than the sum of its proper divisors (207431684769024).

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

83479657003776 is a wasteful number, since it uses less digits than its factorization.

83479657003776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10382 (or 10362 counting only the distinct ones).

The product of its (nonzero) digits is 1120210560, while the sum is 72.

The spelling of 83479657003776 in words is "eighty-three trillion, four hundred seventy-nine billion, six hundred fifty-seven million, three thousand, seven hundred seventy-six".