75515406336 has 144 divisors (see below), whose sum is σ = 223999038900. Its totient is φ = 24491261952.

The previous prime is 75515406313. The next prime is 75515406353. The reversal of 75515406336 is 63360451557.

75515406336 is a `hidden beast` number, since 7 + 5 + 5 + 1 + 5 + 4 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65257767936 + 10257638400 = 255456^2 + 101280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 75515406291 and 75515406300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626620 + ... + 737348.

Almost surely, 2^75515406336 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 75515406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111999519450).

75515406336 is an abundant number, since it is smaller than the sum of its proper divisors (148483632564).

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

75515406336 is a wasteful number, since it uses less digits than its factorization.

75515406336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110794 (or 110771 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 75515406336 in words is "seventy-five billion, five hundred fifteen million, four hundred six thousand, three hundred thirty-six".