82648668480 has 1008 divisors, whose sum is σ = 334673911296. Its totient is φ = 17209221120.

The previous prime is 82648668413. The next prime is 82648668521. The reversal of 82648668480 is 8486684628.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 526424562 + ... + 526424718.

Almost surely, 2^82648668480 is an apocalyptic number.

82648668480 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 82648668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167336955648).

82648668480 is an abundant number, since it is smaller than the sum of its proper divisors (252025242816).

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

82648668480 is a wasteful number, since it uses less digits than its factorization.

82648668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 82648668480 in words is "eighty-two billion, six hundred forty-eight million, six hundred sixty-eight thousand, four hundred eighty".