83799636480 has 1280 divisors, whose sum is σ = 363039621120. Its totient is φ = 17915904000.

The previous prime is 83799636469. The next prime is 83799636491. The reversal of 83799636480 is 8463699738.

83799636480 is a `hidden beast` number, since 8 + 3 + 7 + 99 + 63 + 6 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (83799636469) and next prime (83799636491).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 554964405 + ... + 554964555.

It is an arithmetic number, because the mean of its divisors is an integer number (283624704).

Almost surely, 2^83799636480 is an apocalyptic number.

83799636480 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 83799636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181519810560).

83799636480 is an abundant number, since it is smaller than the sum of its proper divisors (279239984640).

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

83799636480 is a wasteful number, since it uses less digits than its factorization.

83799636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 83799636480 in words is "eighty-three billion, seven hundred ninety-nine million, six hundred thirty-six thousand, four hundred eighty".