62732445166080 has 1920 divisors, whose sum is σ = 241297056000000. Its totient is φ = 15575226974208.

The previous prime is 62732445166073. The next prime is 62732445166081. The reversal of 62732445166080 is 8066154423726.

62732445166080 is a `hidden beast` number, since 6 + 2 + 7 + 3 + 2 + 44 + 516 + 6 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 (62732445166081) 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, 315238417821 + ... + 315238418019.

It is an arithmetic number, because the mean of its divisors is an integer number (125675550000).

Almost surely, 2^{62732445166080} is an apocalyptic number.

62732445166080 is a gapful number since it is divisible by the number (60) 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 62732445166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528000000).

62732445166080 is an abundant number, since it is smaller than the sum of its proper divisors (178564610833920).

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

62732445166080 is a wasteful number, since it uses less digits than its factorization.

62732445166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 62732445166080 in words is "sixty-two trillion, seven hundred thirty-two billion, four hundred forty-five million, one hundred sixty-six thousand, eighty".