5336975627984 has 320 divisors, whose sum is σ = 14527950151680. Its totient is φ = 1830780610560.

The previous prime is 5336975627983. The next prime is 5336975627993. The reversal of 5336975627984 is 4897265796335.

It is a super-2 number, since 2×5336975627984² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336975627983) 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, 132223934 + ... + 132264290.

It is an arithmetic number, because the mean of its divisors is an integer number (45399844224).

Almost surely, 2^{5336975627984} 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 5336975627984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263975075840).

5336975627984 is an abundant number, since it is smaller than the sum of its proper divisors (9190974523696).

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

5336975627984 is a wasteful number, since it uses less digits than its factorization.

5336975627984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40778 (or 40772 counting only the distinct ones).

The product of its digits is 2057529600, while the sum is 74.

The spelling of 5336975627984 in words is "five trillion, three hundred thirty-six billion, nine hundred seventy-five million, six hundred twenty-seven thousand, nine hundred eighty-four".