82734408288 has 252 divisors, whose sum is σ = 284088821940. Its totient is φ = 23638075776.

The previous prime is 82734408287. The next prime is 82734408319. The reversal of 82734408288 is 88280443728.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82734408287) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1106883 + ... + 1179261.

It is an arithmetic number, because the mean of its divisors is an integer number (1127336595).

Almost surely, 2^82734408288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82734408288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142044410970).

82734408288 is an abundant number, since it is smaller than the sum of its proper divisors (201354413652).

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

82734408288 is an equidigital number, since it uses as much as digits as its factorization.

82734408288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72421 (or 72391 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 82734408288 in words is "eighty-two billion, seven hundred thirty-four million, four hundred eight thousand, two hundred eighty-eight".