5349909764628 has 144 divisors (see below), whose sum is σ = 15890078131200. Its totient is φ = 1496245858560.

The previous prime is 5349909764621. The next prime is 5349909764657. The reversal of 5349909764628 is 8264679099435.

5349909764628 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 90 + 9 + 76 + 462 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5349909764621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 34512078 + ... + 34666746.

It is an arithmetic number, because the mean of its divisors is an integer number (110347764800).

Almost surely, 2^{5349909764628} 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 5349909764628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7945039065600).

5349909764628 is an abundant number, since it is smaller than the sum of its proper divisors (10540168366572).

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

5349909764628 is a wasteful number, since it uses less digits than its factorization.

5349909764628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161422 (or 161417 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 5349909764628 in words is "five trillion, three hundred forty-nine billion, nine hundred nine million, seven hundred sixty-four thousand, six hundred twenty-eight".