6123720408 has 192 divisors, whose sum is σ = 17303777280. Its totient is φ = 1803110400.

The previous prime is 6123720401. The next prime is 6123720419. The reversal of 6123720408 is 8040273216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6123720401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14207953 + ... + 14208383.

It is an arithmetic number, because the mean of its divisors is an integer number (90123840).

Almost surely, 2^6123720408 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 6123720408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8651888640).

6123720408 is an abundant number, since it is smaller than the sum of its proper divisors (11180056872).

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

6123720408 is a wasteful number, since it uses less digits than its factorization.

6123720408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6123720408 is about 78254.2037720658. The cubic root of 6123720408 is about 1829.5254333945.

The spelling of 6123720408 in words is "six billion, one hundred twenty-three million, seven hundred twenty thousand, four hundred eight".