5780414016 has 168 divisors, whose sum is σ = 18504513664. Its totient is φ = 1778526720.

The previous prime is 5780413993. The next prime is 5780414063. The reversal of 5780414016 is 6104140875.

It is a happy number.

5780414016 is a `hidden beast` number, since 578 + 0 + 41 + 40 + 1 + 6 = 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 23 ways as a sum of consecutive naturals, for example, 187881 + ... + 216471.

Almost surely, 2^5780414016 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 5780414016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252256832).

5780414016 is an abundant number, since it is smaller than the sum of its proper divisors (12724099648).

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

5780414016 is a wasteful number, since it uses less digits than its factorization.

5780414016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28631 (or 28609 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5780414016 is about 76029.0340330587. The cubic root of 5780414016 is about 1794.6770746639.

The spelling of 5780414016 in words is "five billion, seven hundred eighty million, four hundred fourteen thousand, sixteen".