6012419616 has 384 divisors, whose sum is σ = 20898662400. Its totient is φ = 1646023680.

The previous prime is 6012419561. The next prime is 6012419687. The reversal of 6012419616 is 6169142106.

6012419616 is a `hidden beast` number, since 6 + 0 + 1 + 24 + 19 + 616 = 666.

It is a super-2 number, since 2×6012419616² = 72298379277723174912, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15863715 + ... + 15864093.

It is an arithmetic number, because the mean of its divisors is an integer number (54423600).

Almost surely, 2^6012419616 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 6012419616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10449331200).

6012419616 is an abundant number, since it is smaller than the sum of its proper divisors (14886242784).

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

6012419616 is a wasteful number, since it uses less digits than its factorization.

6012419616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6012419616 is about 77539.7937577861. The cubic root of 6012419616 is about 1818.3735031918.

The spelling of 6012419616 in words is "six billion, twelve million, four hundred nineteen thousand, six hundred sixteen".