6122904480 has 768 divisors, whose sum is σ = 27172454400. Its totient is φ = 1250795520.

The previous prime is 6122904427. The next prime is 6122904493. The reversal of 6122904480 is 844092216.

6122904480 is a `hidden beast` number, since 6 + 122 + 90 + 448 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26278444 + ... + 26278676.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^6122904480 is an apocalyptic number.

6122904480 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 6122904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13586227200).

6122904480 is an abundant number, since it is smaller than the sum of its proper divisors (21049549920).

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

6122904480 is a wasteful number, since it uses less digits than its factorization.

6122904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6122904480 is about 78248.9902810254. The cubic root of 6122904480 is about 1829.4441741147. Note that the first 3 decimals are identical.

Adding to 6122904480 its reverse (844092216), we get a palindrome (6966996696).

It can be divided in two parts, 612 and 2904480, that added together give a palindrome (2905092).

The spelling of 6122904480 in words is "six billion, one hundred twenty-two million, nine hundred four thousand, four hundred eighty".