6113038464 has 256 divisors, whose sum is σ = 19633286400. Its totient is φ = 1861263360.

The previous prime is 6113038427. The next prime is 6113038471. The reversal of 6113038464 is 4648303116.

It is a happy number.

6113038464 is a `hidden beast` number, since 61 + 130 + 3 + 8 + 464 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4626924 + ... + 4628244.

It is an arithmetic number, because the mean of its divisors is an integer number (76692525).

Almost surely, 2^6113038464 is an apocalyptic number.

6113038464 is a gapful number since it is divisible by the number (64) 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 6113038464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9816643200).

6113038464 is an abundant number, since it is smaller than the sum of its proper divisors (13520247936).

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

6113038464 is a wasteful number, since it uses less digits than its factorization.

6113038464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6113038464 is about 78185.9224157393. The cubic root of 6113038464 is about 1828.4610334767.

The spelling of 6113038464 in words is "six billion, one hundred thirteen million, thirty-eight thousand, four hundred sixty-four".