82673172480 has 512 divisors, whose sum is σ = 282658222080. Its totient is φ = 20588789760.

The previous prime is 82673172467. The next prime is 82673172509. The reversal of 82673172480 is 8427137628.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802652109 + ... + 802652211.

It is an arithmetic number, because the mean of its divisors is an integer number (552066840).

Almost surely, 2^82673172480 is an apocalyptic number.

82673172480 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 82673172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141329111040).

82673172480 is an abundant number, since it is smaller than the sum of its proper divisors (199985049600).

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

82673172480 is a wasteful number, since it uses less digits than its factorization.

82673172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 82673172480 in words is "eighty-two billion, six hundred seventy-three million, one hundred seventy-two thousand, four hundred eighty".