6121957536 has 192 divisors, whose sum is σ = 18730051200. Its totient is φ = 1942714368.

The previous prime is 6121957511. The next prime is 6121957537. The reversal of 6121957536 is 6357591216.

6121957536 is a `hidden beast` number, since 6 + 1 + 21 + 95 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6121957491 and 6121957500.

It is not an unprimeable number, because it can be changed into a prime (6121957537) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827415 + ... + 1830761.

It is an arithmetic number, because the mean of its divisors is an integer number (97552350).

Almost surely, 2^6121957536 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 6121957536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365025600).

6121957536 is an abundant number, since it is smaller than the sum of its proper divisors (12608093664).

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

6121957536 is a wasteful number, since it uses less digits than its factorization.

6121957536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3454 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 6121957536 is about 78242.9392085957. The cubic root of 6121957536 is about 1829.3498577378.

The spelling of 6121957536 in words is "six billion, one hundred twenty-one million, nine hundred fifty-seven thousand, five hundred thirty-six".