82962414720 has 576 divisors, whose sum is σ = 310417660800. Its totient is φ = 20351471616.

The previous prime is 82962414713. The next prime is 82962414749. The reversal of 82962414720 is 2741426928.

82962414720 is a `hidden beast` number, since 8 + 2 + 9 + 624 + 14 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 653247297 + ... + 653247423.

It is an arithmetic number, because the mean of its divisors is an integer number (538919550).

Almost surely, 2^82962414720 is an apocalyptic number.

82962414720 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 82962414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155208830400).

82962414720 is an abundant number, since it is smaller than the sum of its proper divisors (227455246080).

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

82962414720 is a wasteful number, since it uses less digits than its factorization.

82962414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82962414720 in words is "eighty-two billion, nine hundred sixty-two million, four hundred fourteen thousand, seven hundred twenty".