62620046005000 has 640 divisors, whose sum is σ = 170215613568000. Its totient is φ = 21351600000000.

The previous prime is 62620046004977. The next prime is 62620046005021. The reversal of 62620046005000 is 50064002626.

62620046005000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47475394341 + ... + 47475395659.

It is an arithmetic number, because the mean of its divisors is an integer number (265961896200).

Almost surely, 2^{62620046005000} 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 62620046005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85107806784000).

62620046005000 is an abundant number, since it is smaller than the sum of its proper divisors (107595567563000).

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

62620046005000 is a wasteful number, since it uses less digits than its factorization.

62620046005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 62620046005000 in words is "sixty-two trillion, six hundred twenty billion, forty-six million, five thousand".