536649688999424 has 5120 divisors, whose sum is σ = 1756226794291200. Its totient is φ = 160229228544000.

The previous prime is 536649688999387. The next prime is 536649688999451. The reversal of 536649688999424 is 424999886946635.

It is a Harshad number since it is a multiple of its sum of digits (92).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12480225325547 + ... + 12480225325589.

It is an arithmetic number, because the mean of its divisors is an integer number (343013045760).

Almost surely, 2^{536649688999424} 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 536649688999424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878113397145600).

536649688999424 is an abundant number, since it is smaller than the sum of its proper divisors (1219577105291776).

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

536649688999424 is a wasteful number, since it uses less digits than its factorization.

536649688999424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 188 counting only the distinct ones).

The product of its digits is 174142586880, while the sum is 92.

The spelling of 536649688999424 in words is "five hundred thirty-six trillion, six hundred forty-nine billion, six hundred eighty-eight million, nine hundred ninety-nine thousand, four hundred twenty-four".