536732866656 has 288 divisors, whose sum is σ = 1853598696768. Its totient is φ = 143815311360.

The previous prime is 536732866643. The next prime is 536732866667. The reversal of 536732866656 is 656668237635.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 536732866593 and 536732866602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9602566 + ... + 9658298.

It is an arithmetic number, because the mean of its divisors is an integer number (6436106586).

Almost surely, 2^536732866656 is an apocalyptic number.

536732866656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536732866656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926799348384).

536732866656 is an abundant number, since it is smaller than the sum of its proper divisors (1316865830112).

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

536732866656 is a wasteful number, since it uses less digits than its factorization.

536732866656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56054 (or 56043 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 536732866656 in words is "five hundred thirty-six billion, seven hundred thirty-two million, eight hundred sixty-six thousand, six hundred fifty-six".