8737122433536 has 560 divisors, whose sum is σ = 30004696522944. Its totient is φ = 2488662392832.

The previous prime is 8737122433493. The next prime is 8737122433541. The reversal of 8737122433536 is 6353342217378.

8737122433536 is a `hidden beast` number, since 8 + 7 + 3 + 71 + 2 + 2 + 4 + 33 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 880487071 + ... + 880496993.

Almost surely, 2^{8737122433536} 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 8737122433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15002348261472).

8737122433536 is an abundant number, since it is smaller than the sum of its proper divisors (21267574089408).

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

8737122433536 is an frugal number, since it uses more digits than its factorization.

8737122433536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10303 (or 10272 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 8737122433536 in words is "eight trillion, seven hundred thirty-seven billion, one hundred twenty-two million, four hundred thirty-three thousand, five hundred thirty-six".