6184145664 has 144 divisors (see below), whose sum is σ = 18782643040. Its totient is φ = 2005585920.

The previous prime is 6184145651. The next prime is 6184145683. The reversal of 6184145664 is 4665414816.

6184145664 is a `hidden beast` number, since 6 + 1 + 84 + 1 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243654 + ... + 267834.

Almost surely, 2^6184145664 is an apocalyptic number.

6184145664 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 6184145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391321520).

6184145664 is an abundant number, since it is smaller than the sum of its proper divisors (12598497376).

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

6184145664 is a wasteful number, since it uses less digits than its factorization.

6184145664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24243 (or 24223 counting only the distinct ones).

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

The square root of 6184145664 is about 78639.3391630423. The cubic root of 6184145664 is about 1835.5233074029.

The spelling of 6184145664 in words is "six billion, one hundred eighty-four million, one hundred forty-five thousand, six hundred sixty-four".