5535743646576 has 480 divisors, whose sum is σ = 17441425177344. Its totient is φ = 1491504537600.

The previous prime is 5535743646529. The next prime is 5535743646593. The reversal of 5535743646576 is 6756463475355.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1497359160 + ... + 1497362856.

Almost surely, 2^{5535743646576} 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 5535743646576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8720712588672).

5535743646576 is an abundant number, since it is smaller than the sum of its proper divisors (11905681530768).

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

5535743646576 is a wasteful number, since it uses less digits than its factorization.

5535743646576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 3984 counting only the distinct ones).

The product of its digits is 952560000, while the sum is 66.

The spelling of 5535743646576 in words is "five trillion, five hundred thirty-five billion, seven hundred forty-three million, six hundred forty-six thousand, five hundred seventy-six".