6140770416 has 240 divisors, whose sum is σ = 19924126560. Its totient is φ = 1747630080.

The previous prime is 6140770403. The next prime is 6140770423.

6140770416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6140770416² = 75418122604041626112, which contains 22 as substring.

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

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, 1697826 + ... + 1701438.

It is an arithmetic number, because the mean of its divisors is an integer number (83017194).

Almost surely, 2^6140770416 is an apocalyptic number.

6140770416 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 6140770416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962063280).

6140770416 is an abundant number, since it is smaller than the sum of its proper divisors (13783356144).

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

6140770416 is a wasteful number, since it uses less digits than its factorization.

6140770416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 6140770416 is about 78363.0679338169. The cubic root of 6140770416 is about 1831.2218159710.

The spelling of 6140770416 in words is "six billion, one hundred forty million, seven hundred seventy thousand, four hundred sixteen".