5349302000640 has 2112 divisors, whose sum is σ = 22131495859200. Its totient is φ = 1235337412608.

The previous prime is 5349302000617. The next prime is 5349302000717. The reversal of 5349302000640 is 460002039435.

5349302000640 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 3 + 0 + 2 + 0 + 0 + 0 + 640 = 666.

It is a super-2 number, since 2×5349302000640² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5349302000595 and 5349302000604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51934970829 + ... + 51934970931.

Almost surely, 2^{5349302000640} 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 5349302000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065747929600).

5349302000640 is an abundant number, since it is smaller than the sum of its proper divisors (16782193858560).

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

5349302000640 is a wasteful number, since it uses less digits than its factorization.

5349302000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 5349302000640 in words is "five trillion, three hundred forty-nine billion, three hundred two million, six hundred forty", and thus it is an aban number.