75536633754 has 80 divisors (see below), whose sum is σ = 174335469000. Its totient is φ = 24427495296.

The previous prime is 75536633747. The next prime is 75536633771. The reversal of 75536633754 is 45733663557.

75536633754 is a `hidden beast` number, since 7 + 5 + 536 + 6 + 33 + 75 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67441493025 + 8095140729 = 259695^2 + 89973^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 75536633754.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2073852 + ... + 2109960.

Almost surely, 2^75536633754 is an apocalyptic number.

75536633754 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75536633754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87167734500).

75536633754 is an abundant number, since it is smaller than the sum of its proper divisors (98798835246).

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

75536633754 is a wasteful number, since it uses less digits than its factorization.

75536633754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36509 (or 36500 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 54.

The spelling of 75536633754 in words is "seventy-five billion, five hundred thirty-six million, six hundred thirty-three thousand, seven hundred fifty-four".