82024474560 has 224 divisors, whose sum is σ = 304554404352. Its totient is φ = 18312376320.

The previous prime is 82024474489. The next prime is 82024474561. The reversal of 82024474560 is 6547442028.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82024474561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147030 + ... + 430890.

Almost surely, 2^82024474560 is an apocalyptic number.

82024474560 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 82024474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152277202176).

82024474560 is an abundant number, since it is smaller than the sum of its proper divisors (222529929792).

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

82024474560 is a wasteful number, since it uses less digits than its factorization.

82024474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283931 (or 283921 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 82024474560 in words is "eighty-two billion, twenty-four million, four hundred seventy-four thousand, five hundred sixty".