5468470049280 has 960 divisors, whose sum is σ = 22004933879808. Its totient is φ = 1132572672000.

The previous prime is 5468470049153. The next prime is 5468470049281. The reversal of 5468470049280 is 829400748645.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5468470049280.

It is not an unprimeable number, because it can be changed into a prime (5468470049281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446363155 + ... + 446375405.

Almost surely, 2^{5468470049280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5468470049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11002466939904).

5468470049280 is an abundant number, since it is smaller than the sum of its proper divisors (16536463830528).

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

5468470049280 is a wasteful number, since it uses less digits than its factorization.

5468470049280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12345 (or 12310 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 57.

The spelling of 5468470049280 in words is "five trillion, four hundred sixty-eight billion, four hundred seventy million, forty-nine thousand, two hundred eighty".