82068060480 has 224 divisors, whose sum is σ = 308059165440. Its totient is φ = 18111528960.

The previous prime is 82068060469. The next prime is 82068060499. The reversal of 82068060480 is 8406086028.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 15681 + ... + 405440.

Almost surely, 2^82068060480 is an apocalyptic number.

82068060480 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 82068060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154029582720).

82068060480 is an abundant number, since it is smaller than the sum of its proper divisors (225991104960).

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

82068060480 is a wasteful number, since it uses less digits than its factorization.

82068060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421177 (or 421167 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 82068060480 in words is "eighty-two billion, sixty-eight million, sixty thousand, four hundred eighty".