83440779264 has 480 divisors, whose sum is σ = 264233088000. Its totient is φ = 25965232128.

The previous prime is 83440779211. The next prime is 83440779281. The reversal of 83440779264 is 46297704438.

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

It is a self number, because there is not a number n which added to its sum of digits gives 83440779264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600293307 + ... + 600293445.

It is an arithmetic number, because the mean of its divisors is an integer number (550485600).

Almost surely, 2^83440779264 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 83440779264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132116544000).

83440779264 is an abundant number, since it is smaller than the sum of its proper divisors (180792308736).

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

83440779264 is a wasteful number, since it uses less digits than its factorization.

83440779264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 83440779264 in words is "eighty-three billion, four hundred forty million, seven hundred seventy-nine thousand, two hundred sixty-four".