75522004992 has 864 divisors, whose sum is σ = 278678836800. Its totient is φ = 20316635136.

The previous prime is 75522004991. The next prime is 75522005029. The reversal of 75522004992 is 29940022557.

75522004992 is a `hidden beast` number, since 7 + 552 + 2 + 0 + 0 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75522004991) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 463325103 + ... + 463325265.

It is an arithmetic number, because the mean of its divisors is an integer number (322544950).

Almost surely, 2^75522004992 is an apocalyptic number.

75522004992 is a gapful number since it is divisible by the number (72) 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 75522004992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139339418400).

75522004992 is an abundant number, since it is smaller than the sum of its proper divisors (203156831808).

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

75522004992 is a wasteful number, since it uses less digits than its factorization.

75522004992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 75522004992 in words is "seventy-five billion, five hundred twenty-two million, four thousand, nine hundred ninety-two".