6011320464 has 120 divisors (see below), whose sum is σ = 17035100160. Its totient is φ = 1978712064.

The previous prime is 6011320423. The next prime is 6011320487. The reversal of 6011320464 is 4640231106.

6011320464 is a `hidden beast` number, since 601 + 13 + 2 + 0 + 46 + 4 = 666.

It is a super-2 number, since 2×6011320464² = 72271947441810350592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699377 + ... + 4700655.

It is an arithmetic number, because the mean of its divisors is an integer number (141959168).

Almost surely, 2^6011320464 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 6011320464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517550080).

6011320464 is an abundant number, since it is smaller than the sum of its proper divisors (11023779696).

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

6011320464 is a wasteful number, since it uses less digits than its factorization.

6011320464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6011320464 is about 77532.7057698878. The cubic root of 6011320464 is about 1818.2626886441.

The spelling of 6011320464 in words is "six billion, eleven million, three hundred twenty thousand, four hundred sixty-four".