6011340624 has 240 divisors, whose sum is σ = 18459224784. Its totient is φ = 1818624000.

The previous prime is 6011340547. The next prime is 6011340637. The reversal of 6011340624 is 4260431106.

6011340624 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 34 + 0 + 624 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 277822224 + 5733518400 = 16668^2 + 75720^2 .

It is a super-2 number, since 2×6011340624² = 72272432195505418752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10136872 + ... + 10137464.

Almost surely, 2^6011340624 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 6011340624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229612392).

6011340624 is an abundant number, since it is smaller than the sum of its proper divisors (12447884160).

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

6011340624 is a wasteful number, since it uses less digits than its factorization.

6011340624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 757 counting only the distinct ones).

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

The square root of 6011340624 is about 77532.8357794296. The cubic root of 6011340624 is about 1818.2647212610.

The spelling of 6011340624 in words is "six billion, eleven million, three hundred forty thousand, six hundred twenty-four".