83304632520 has 256 divisors, whose sum is σ = 281698560000. Its totient is φ = 21895342848.

The previous prime is 83304632513. The next prime is 83304632549. The reversal of 83304632520 is 2523640338.

It is a happy number.

83304632520 is a `hidden beast` number, since 8 + 3 + 304 + 6 + 325 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25249831 + ... + 25253129.

It is an arithmetic number, because the mean of its divisors is an integer number (1100385000).

Almost surely, 2^83304632520 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 83304632520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140849280000).

83304632520 is an abundant number, since it is smaller than the sum of its proper divisors (198393927480).

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

83304632520 is a wasteful number, since it uses less digits than its factorization.

83304632520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 83304632520 in words is "eighty-three billion, three hundred four million, six hundred thirty-two thousand, five hundred twenty".