6121573920 has 864 divisors, whose sum is σ = 27509932800. Its totient is φ = 1266693120.

The previous prime is 6121573867. The next prime is 6121573963. The reversal of 6121573920 is 293751216.

6121573920 is a `hidden beast` number, since 61 + 2 + 1 + 573 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25613161 + ... + 25613399.

It is an arithmetic number, because the mean of its divisors is an integer number (31840200).

Almost surely, 2^6121573920 is an apocalyptic number.

6121573920 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 6121573920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13754966400).

6121573920 is an abundant number, since it is smaller than the sum of its proper divisors (21388358880).

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

6121573920 is a wasteful number, since it uses less digits than its factorization.

6121573920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 6121573920 is about 78240.4877285412. The cubic root of 6121573920 is about 1829.3116465105.

The spelling of 6121573920 in words is "six billion, one hundred twenty-one million, five hundred seventy-three thousand, nine hundred twenty".