75525774660 has 216 divisors, whose sum is σ = 267767712576. Its totient is φ = 17180795520.

The previous prime is 75525774617. The next prime is 75525774673. The reversal of 75525774660 is 6647752557.

75525774660 is a `hidden beast` number, since 7 + 5 + 5 + 2 + 577 + 4 + 6 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 75525774597 and 75525774606.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1840729 + ... + 1881311.

It is an arithmetic number, because the mean of its divisors is an integer number (1239665336).

Almost surely, 2^75525774660 is an apocalyptic number.

75525774660 is a gapful number since it is divisible by the number (70) 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 75525774660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133883856288).

75525774660 is an abundant number, since it is smaller than the sum of its proper divisors (192241937916).

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

75525774660 is a wasteful number, since it uses less digits than its factorization.

75525774660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40823 (or 40811 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 54.

The spelling of 75525774660 in words is "seventy-five billion, five hundred twenty-five million, seven hundred seventy-four thousand, six hundred sixty".