6405078792960 has 288 divisors, whose sum is σ = 22868596423680. Its totient is φ = 1697540861952.

The previous prime is 6405078792929. The next prime is 6405078792997. The reversal of 6405078792960 is 692978705046.

6405078792960 is a `hidden beast` number, since 6 + 40 + 507 + 8 + 7 + 9 + 29 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5064777 + ... + 6201783.

Almost surely, 2^{6405078792960} is an apocalyptic number.

6405078792960 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 6405078792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11434298211840).

6405078792960 is an abundant number, since it is smaller than the sum of its proper divisors (16463517630720).

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

6405078792960 is a wasteful number, since it uses less digits than its factorization.

6405078792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137200 (or 1137180 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 6405078792960 in words is "six trillion, four hundred five billion, seventy-eight million, seven hundred ninety-two thousand, nine hundred sixty".