62420761728 has 320 divisors, whose sum is σ = 201443161920. Its totient is φ = 19072972800.

The previous prime is 62420761727. The next prime is 62420761783. The reversal of 62420761728 is 82716702426.

It is a happy number.

62420761728 is a `hidden beast` number, since 6 + 2 + 4 + 2 + 0 + 7 + 617 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (62420761727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20350851 + ... + 20353917.

It is an arithmetic number, because the mean of its divisors is an integer number (629509881).

Almost surely, 2^62420761728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62420761728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100721580960).

62420761728 is an abundant number, since it is smaller than the sum of its proper divisors (139022400192).

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

62420761728 is a wasteful number, since it uses less digits than its factorization.

62420761728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 62420761728 in words is "sixty-two billion, four hundred twenty million, seven hundred sixty-one thousand, seven hundred twenty-eight".