5619618321408 has 2640 divisors, whose sum is σ = 22466169944064. Its totient is φ = 1384541061120.

The previous prime is 5619618321397. The next prime is 5619618321497. The reversal of 5619618321408 is 8041238169165.

It is a happy number.

5619618321408 is a `hidden beast` number, since 5 + 6 + 1 + 9 + 618 + 3 + 2 + 14 + 0 + 8 = 666.

It is a super-2 number, since 2×5619618321408² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 76981072860 + ... + 76981072932.

Almost surely, 2^{5619618321408} 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 5619618321408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11233084972032).

5619618321408 is an abundant number, since it is smaller than the sum of its proper divisors (16846551622656).

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

5619618321408 is a wasteful number, since it uses less digits than its factorization.

5619618321408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 5619618321408 in words is "five trillion, six hundred nineteen billion, six hundred eighteen million, three hundred twenty-one thousand, four hundred eight".