5470002046080 has 1728 divisors, whose sum is σ = 23762882543400. Its totient is φ = 1151501598720.

The previous prime is 5470002046057. The next prime is 5470002046081. The reversal of 5470002046080 is 806402000745.

5470002046080 is a `hidden beast` number, since 5 + 47 + 0 + 0 + 0 + 2 + 0 + 4 + 608 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1943749025856 + 3526253020224 = 1394184^2 + 1877832^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5470002046081) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2618477676 + ... + 2618479764.

Almost surely, 2^{5470002046080} 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 5470002046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11881441271700).

5470002046080 is an abundant number, since it is smaller than the sum of its proper divisors (18292880497320).

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

5470002046080 is a wasteful number, since it uses less digits than its factorization.

5470002046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2183 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5470002046080 in words is "five trillion, four hundred seventy billion, two million, forty-six thousand, eighty".