6011518464 has 640 divisors, whose sum is σ = 22092871680. Its totient is φ = 1576599552.

The previous prime is 6011518459. The next prime is 6011518507. The reversal of 6011518464 is 4648151106.

6011518464 is a `hidden beast` number, since 601 + 1 + 5 + 1 + 8 + 46 + 4 = 666.

It is a super-2 number, since 2×6011518464² = 72276708486025838592, which contains 22 as substring.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82349532 + ... + 82349604.

It is an arithmetic number, because the mean of its divisors is an integer number (34520112).

Almost surely, 2^6011518464 is an apocalyptic number.

6011518464 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 6011518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046435840).

6011518464 is an abundant number, since it is smaller than the sum of its proper divisors (16081353216).

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

6011518464 is a wasteful number, since it uses less digits than its factorization.

6011518464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6011518464 is about 77533.9826398722. The cubic root of 6011518464 is about 1818.2826516490.

The spelling of 6011518464 in words is "six billion, eleven million, five hundred eighteen thousand, four hundred sixty-four".