5340604968 has 256 divisors, whose sum is σ = 16865280000. Its totient is φ = 1556755200.

The previous prime is 5340604967. The next prime is 5340604993. The reversal of 5340604968 is 8694060435.

5340604968 is a `hidden beast` number, since 5 + 34 + 0 + 604 + 9 + 6 + 8 = 666.

It is a super-2 number, since 2×5340604968² = 57044122848452562048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5340604967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2736393 + ... + 2738343.

It is an arithmetic number, because the mean of its divisors is an integer number (65880000).

Almost surely, 2^5340604968 is an apocalyptic number.

5340604968 is a gapful number since it is divisible by the number (58) 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 5340604968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432640000).

5340604968 is an abundant number, since it is smaller than the sum of its proper divisors (11524675032).

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

5340604968 is a wasteful number, since it uses less digits than its factorization.

5340604968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5340604968 is about 73079.4428550191. The cubic root of 5340604968 is about 1747.9546136194.

The spelling of 5340604968 in words is "five billion, three hundred forty million, six hundred four thousand, nine hundred sixty-eight".