83415467520 has 960 divisors, whose sum is σ = 376175923200. Its totient is φ = 17325342720.

The previous prime is 83415467449. The next prime is 83415467521. The reversal of 83415467520 is 2576451438.

83415467520 is a `hidden beast` number, since 8 + 34 + 1 + 546 + 75 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83415467521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37254561 + ... + 37256799.

It is an arithmetic number, because the mean of its divisors is an integer number (391849920).

Almost surely, 2^83415467520 is an apocalyptic number.

83415467520 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 83415467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188087961600).

83415467520 is an abundant number, since it is smaller than the sum of its proper divisors (292760455680).

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

83415467520 is a wasteful number, since it uses less digits than its factorization.

83415467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 83415467520 in words is "eighty-three billion, four hundred fifteen million, four hundred sixty-seven thousand, five hundred twenty".