620313412602240 has 1280 divisors, whose sum is σ = 2687649401733120. Its totient is φ = 133096645656576.

The previous prime is 620313412602229. The next prime is 620313412602241. The reversal of 620313412602240 is 42206214313026.

620313412602240 is a `hidden beast` number, since 6 + 2 + 0 + 3 + 1 + 3 + 4 + 1 + 2 + 602 + 2 + 40 = 666.

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 = 620313412602195 and 620313412602204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (620313412602241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2362580409 + ... + 2362842951.

It is an arithmetic number, because the mean of its divisors is an integer number (2099726095104).

Almost surely, 2^{620313412602240} is an apocalyptic number.

620313412602240 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 620313412602240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343824700866560).

620313412602240 is an abundant number, since it is smaller than the sum of its proper divisors (2067335989130880).

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

620313412602240 is a wasteful number, since it uses less digits than its factorization.

620313412602240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262981 (or 262960 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 620313412602240 its reverse (42206214313026), we get a palindrome (662519626915266).

The spelling of 620313412602240 in words is "six hundred twenty trillion, three hundred thirteen billion, four hundred twelve million, six hundred two thousand, two hundred forty".