6012524416 has 64 divisors (see below), whose sum is σ = 12161664000. Its totient is φ = 2960395776.

The previous prime is 6012524411. The next prime is 6012524443. The reversal of 6012524416 is 6144252106.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6012524416² = 72300899705992282112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6012524411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6542005 + ... + 6542923.

It is an arithmetic number, because the mean of its divisors is an integer number (190026000).

Almost surely, 2^6012524416 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 6012524416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080832000).

6012524416 is an abundant number, since it is smaller than the sum of its proper divisors (6149139584).

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

6012524416 is an equidigital number, since it uses as much as digits as its factorization.

6012524416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6012524416 is about 77540.4695368812. The cubic root of 6012524416 is about 1818.3840682359.

The spelling of 6012524416 in words is "six billion, twelve million, five hundred twenty-four thousand, four hundred sixteen".