82347632640 has 960 divisors, whose sum is σ = 363606122880. Its totient is φ = 17358520320.

The previous prime is 82347632623. The next prime is 82347632701. The reversal of 82347632640 is 4623674328.

82347632640 is a `hidden beast` number, since 8 + 2 + 3 + 4 + 7 + 632 + 6 + 4 + 0 = 666.

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

It is a super-2 number, since 2×82347632640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75478495 + ... + 75479585.

It is an arithmetic number, because the mean of its divisors is an integer number (378756378).

Almost surely, 2^82347632640 is an apocalyptic number.

82347632640 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 82347632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181803061440).

82347632640 is an abundant number, since it is smaller than the sum of its proper divisors (281258490240).

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

82347632640 is a wasteful number, since it uses less digits than its factorization.

82347632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 82347632640 in words is "eighty-two billion, three hundred forty-seven million, six hundred thirty-two thousand, six hundred forty".