6121361664 has 432 divisors, whose sum is σ = 20329493184. Its totient is φ = 1754726400.

The previous prime is 6121361627. The next prime is 6121361671. The reversal of 6121361664 is 4661631216.

It is a happy number.

6121361664 is a `hidden beast` number, since 612 + 1 + 36 + 1 + 6 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44681404 + ... + 44681540.

It is an arithmetic number, because the mean of its divisors is an integer number (47059012).

Almost surely, 2^6121361664 is an apocalyptic number.

6121361664 is a gapful number since it is divisible by the number (64) 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 6121361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164746592).

6121361664 is an abundant number, since it is smaller than the sum of its proper divisors (14208131520).

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

6121361664 is a wasteful number, since it uses less digits than its factorization.

6121361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 237 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 6121361664 is about 78239.1312835208. The cubic root of 6121361664 is about 1829.2905034261.

The spelling of 6121361664 in words is "six billion, one hundred twenty-one million, three hundred sixty-one thousand, six hundred sixty-four".