6115846464 has 896 divisors, whose sum is σ = 24579072000. Its totient is φ = 1445216256.

The previous prime is 6115846459. The next prime is 6115846507. The reversal of 6115846464 is 4646485116.

6115846464 is a `hidden beast` number, since 6 + 1 + 1 + 584 + 6 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68717332 + ... + 68717420.

It is an arithmetic number, because the mean of its divisors is an integer number (27432000).

Almost surely, 2^6115846464 is an apocalyptic number.

6115846464 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 6115846464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12289536000).

6115846464 is an abundant number, since it is smaller than the sum of its proper divisors (18463225536).

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

6115846464 is a wasteful number, since it uses less digits than its factorization.

6115846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 6115846464 is about 78203.8775509245. The cubic root of 6115846464 is about 1828.7409560646.

The spelling of 6115846464 in words is "six billion, one hundred fifteen million, eight hundred forty-six thousand, four hundred sixty-four".