82880308304640 has 1728 divisors, whose sum is σ = 376663839552000. Its totient is φ = 17063465287680.

The previous prime is 82880308304561. The next prime is 82880308304641. The reversal of 82880308304640 is 4640380308828.

82880308304640 is a `hidden beast` number, since 8 + 28 + 8 + 0 + 308 + 304 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (82880308304641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2030414151 + ... + 2030454969.

It is an arithmetic number, because the mean of its divisors is an integer number (217976759000).

Almost surely, 2^{82880308304640} is an apocalyptic number.

82880308304640 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 82880308304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188331919776000).

82880308304640 is an abundant number, since it is smaller than the sum of its proper divisors (293783531247360).

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

82880308304640 is a wasteful number, since it uses less digits than its factorization.

82880308304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40983 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 82880308304640 in words is "eighty-two trillion, eight hundred eighty billion, three hundred eight million, three hundred four thousand, six hundred forty".