6057610416 has 360 divisors, whose sum is σ = 20530560960. Its totient is φ = 1655470080.

The previous prime is 6057610387. The next prime is 6057610469. The reversal of 6057610416 is 6140167506.

6057610416 is a `hidden beast` number, since 60 + 576 + 10 + 4 + 16 = 666.

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 71 ways as a sum of consecutive naturals, for example, 10645780 + ... + 10646348.

It is an arithmetic number, because the mean of its divisors is an integer number (57029336).

Almost surely, 2^6057610416 is an apocalyptic number.

6057610416 is a gapful number since it is divisible by the number (66) 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 6057610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10265280480).

6057610416 is an abundant number, since it is smaller than the sum of its proper divisors (14472950544).

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

6057610416 is a wasteful number, since it uses less digits than its factorization.

6057610416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6057610416 is about 77830.6521622426. The cubic root of 6057610416 is about 1822.9179148529.

The spelling of 6057610416 in words is "six billion, fifty-seven million, six hundred ten thousand, four hundred sixteen".