6194964960 has 144 divisors (see below), whose sum is σ = 21270819024. Its totient is φ = 1641793536.

The previous prime is 6194964931. The next prime is 6194964977. The reversal of 6194964960 is 694694916.

6194964960 is a `hidden beast` number, since 61 + 9 + 4 + 96 + 496 + 0 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6194964897 and 6194964906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221524 + ... + 247916.

It is an arithmetic number, because the mean of its divisors is an integer number (147714021).

Almost surely, 2^6194964960 is an apocalyptic number.

6194964960 is a gapful number since it is divisible by the number (60) 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 6194964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10635409512).

6194964960 is an abundant number, since it is smaller than the sum of its proper divisors (15075854064).

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

6194964960 is a wasteful number, since it uses less digits than its factorization.

6194964960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26566 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6194964960 is about 78708.0997102585. The cubic root of 6194964960 is about 1836.5931129459.

The spelling of 6194964960 in words is "six billion, one hundred ninety-four million, nine hundred sixty-four thousand, nine hundred sixty".