75675521866560 has 1344 divisors, whose sum is σ = 310507205898240. Its totient is φ = 15436691128320.

The previous prime is 75675521866543. The next prime is 75675521866577. The reversal of 75675521866560 is 6566812557657.

It is an interprime number because it is at equal distance from previous prime (75675521866543) and next prime (75675521866577).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30925835257 + ... + 30925837703.

Almost surely, 2^{75675521866560} is an apocalyptic number.

75675521866560 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 75675521866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155253602949120).

75675521866560 is an abundant number, since it is smaller than the sum of its proper divisors (234831684031680).

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

75675521866560 is a wasteful number, since it uses less digits than its factorization.

75675521866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3547 counting only the distinct ones).

The product of its (nonzero) digits is 635040000, while the sum is 69.

The spelling of 75675521866560 in words is "seventy-five trillion, six hundred seventy-five billion, five hundred twenty-one million, eight hundred sixty-six thousand, five hundred sixty".