5334437191680 has 1120 divisors, whose sum is σ = 20381657788800. Its totient is φ = 1330076712960.

The previous prime is 5334437191673. The next prime is 5334437191717. The reversal of 5334437191680 is 861917344335.

5334437191680 is a `hidden beast` number, since 5 + 3 + 3 + 443 + 7 + 191 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×5334437191680² (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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15284920146 + ... + 15284920494.

It is an arithmetic number, because the mean of its divisors is an integer number (18197908740).

Almost surely, 2^{5334437191680} 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 5334437191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10190828894400).

5334437191680 is an abundant number, since it is smaller than the sum of its proper divisors (15047220597120).

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

5334437191680 is a wasteful number, since it uses less digits than its factorization.

5334437191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5334437191680 in words is "five trillion, three hundred thirty-four billion, four hundred thirty-seven million, one hundred ninety-one thousand, six hundred eighty".