82342567440 has 480 divisors, whose sum is σ = 336970575360. Its totient is φ = 18419595264.

The previous prime is 82342567387. The next prime is 82342567451. The reversal of 82342567440 is 4476524328.

It is a happy number.

82342567440 is a `hidden beast` number, since 8 + 2 + 3 + 42 + 567 + 4 + 40 = 666.

It is a super-2 number, since 2×82342567440² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4966204 + ... + 4982756.

It is an arithmetic number, because the mean of its divisors is an integer number (702022032).

Almost surely, 2^82342567440 is an apocalyptic number.

82342567440 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 82342567440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168485287680).

82342567440 is an abundant number, since it is smaller than the sum of its proper divisors (254628007920).

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

82342567440 is a wasteful number, since it uses less digits than its factorization.

82342567440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16636 (or 16617 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 82342567440 in words is "eighty-two billion, three hundred forty-two million, five hundred sixty-seven thousand, four hundred forty".