536861969280 has 3072 divisors, whose sum is σ = 2672393472000. Its totient is φ = 100329062400.

The previous prime is 536861969239. The next prime is 536861969309. The reversal of 536861969280 is 82969168635.

536861969280 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 619 + 6 + 9 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3555377205 + ... + 3555377355.

It is an arithmetic number, because the mean of its divisors is an integer number (869919750).

Almost surely, 2^536861969280 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 536861969280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336196736000).

536861969280 is an abundant number, since it is smaller than the sum of its proper divisors (2135531502720).

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

536861969280 is a wasteful number, since it uses less digits than its factorization.

536861969280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 536861969280 in words is "five hundred thirty-six billion, eight hundred sixty-one million, nine hundred sixty-nine thousand, two hundred eighty".