6115271904 has 480 divisors, whose sum is σ = 22022542080. Its totient is φ = 1632586752.

The previous prime is 6115271887. The next prime is 6115271933. The reversal of 6115271904 is 4091725116.

6115271904 is a `hidden beast` number, since 611 + 5 + 27 + 19 + 0 + 4 = 666.

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 79 ways as a sum of consecutive naturals, for example, 83770812 + ... + 83770884.

It is an arithmetic number, because the mean of its divisors is an integer number (45880296).

Almost surely, 2^6115271904 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 6115271904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11011271040).

6115271904 is an abundant number, since it is smaller than the sum of its proper divisors (15907270176).

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

6115271904 is an frugal number, since it uses more digits than its factorization.

6115271904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 6115271904 is about 78200.2039895038. The cubic root of 6115271904 is about 1828.6836865699.

The spelling of 6115271904 in words is "six billion, one hundred fifteen million, two hundred seventy-one thousand, nine hundred four".