6113849772420 has 240 divisors, whose sum is σ = 20673413172720. Its totient is φ = 1503584861184.

The previous prime is 6113849772413. The next prime is 6113849772427. The reversal of 6113849772420 is 242779483116.

6113849772420 is a `hidden beast` number, since 6 + 11 + 38 + 497 + 72 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6113849772413) and next prime (6113849772427).

It can be written as a sum of positive squares in 8 ways, for example, as 3352941858816 + 2760907913604 = 1831104^2 + 1661598^2 .

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 (6113849772427) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23224654 + ... + 23486426.

It is an arithmetic number, because the mean of its divisors is an integer number (86139221553).

Almost surely, 2^{6113849772420} is an apocalyptic number.

6113849772420 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 6113849772420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10336706586360).

6113849772420 is an abundant number, since it is smaller than the sum of its proper divisors (14559563400300).

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

6113849772420 is a wasteful number, since it uses less digits than its factorization.

6113849772420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262916 (or 262905 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 6113849772420 in words is "six trillion, one hundred thirteen billion, eight hundred forty-nine million, seven hundred seventy-two thousand, four hundred twenty".