620101225728 has 216 divisors, whose sum is σ = 1857135361536. Its totient is φ = 206364672000.

The previous prime is 620101225721. The next prime is 620101225729. The reversal of 620101225728 is 827522101026.

It is a happy number.

620101225728 is a `hidden beast` number, since 62 + 0 + 1 + 0 + 1 + 22 + 572 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 620101225692 and 620101225701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620101225721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39867553 + ... + 39883103.

It is an arithmetic number, because the mean of its divisors is an integer number (8597848896).

Almost surely, 2^620101225728 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 620101225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928567680768).

620101225728 is an abundant number, since it is smaller than the sum of its proper divisors (1237034135808).

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

620101225728 is an equidigital number, since it uses as much as digits as its factorization.

620101225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16223 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 620101225728 in words is "six hundred twenty billion, one hundred one million, two hundred twenty-five thousand, seven hundred twenty-eight".