82656678384 has 240 divisors, whose sum is σ = 288952934400. Its totient is φ = 21509867520.

The previous prime is 82656678383. The next prime is 82656678437. The reversal of 82656678384 is 48387665628.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82656678383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453417 + ... + 609015.

It is an arithmetic number, because the mean of its divisors is an integer number (1203970560).

Almost surely, 2^82656678384 is an apocalyptic number.

82656678384 is a gapful number since it is divisible by the number (84) 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 82656678384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144476467200).

82656678384 is an abundant number, since it is smaller than the sum of its proper divisors (206296256016).

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

82656678384 is a wasteful number, since it uses less digits than its factorization.

82656678384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155668 (or 155659 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 82656678384 in words is "eighty-two billion, six hundred fifty-six million, six hundred seventy-eight thousand, three hundred eighty-four".