83733479424 has 384 divisors, whose sum is σ = 282658222080. Its totient is φ = 23387701248.

The previous prime is 83733479399. The next prime is 83733479461. The reversal of 83733479424 is 42497433738.

83733479424 is a `hidden beast` number, since 83 + 73 + 3 + 4 + 79 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×83733479424² (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97025617 + ... + 97026479.

It is an arithmetic number, because the mean of its divisors is an integer number (736089120).

Almost surely, 2^83733479424 is an apocalyptic number.

83733479424 is a gapful number since it is divisible by the number (84) 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 83733479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329111040).

83733479424 is an abundant number, since it is smaller than the sum of its proper divisors (198924742656).

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

83733479424 is an equidigital number, since it uses as much as digits as its factorization.

83733479424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 922 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 83733479424 in words is "eighty-three billion, seven hundred thirty-three million, four hundred seventy-nine thousand, four hundred twenty-four".