5413376640 has 1024 divisors, whose sum is σ = 23265792000. Its totient is φ = 1040449536.

The previous prime is 5413376627. The next prime is 5413376677. The reversal of 5413376640 is 466733145.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125892459 + ... + 125892501.

It is an arithmetic number, because the mean of its divisors is an integer number (22720500).

Almost surely, 2^5413376640 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 5413376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11632896000).

5413376640 is an abundant number, since it is smaller than the sum of its proper divisors (17852415360).

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

5413376640 is a wasteful number, since it uses less digits than its factorization.

5413376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 5413376640 is about 73575.6524945583. The cubic root of 5413376640 is about 1755.8580977515.

The spelling of 5413376640 in words is "five billion, four hundred thirteen million, three hundred seventy-six thousand, six hundred forty".