75634925575680 has 960 divisors, whose sum is σ = 281517521725440. Its totient is φ = 19438923055104.

The previous prime is 75634925575673. The next prime is 75634925575711. The reversal of 75634925575680 is 8657552943657.

75634925575680 is a `hidden beast` number, since 7 + 5 + 6 + 3 + 4 + 9 + 2 + 5 + 57 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 75634925575599 and 75634925575608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10950470787 + ... + 10950477693.

It is an arithmetic number, because the mean of its divisors is an integer number (293247418464).

Almost surely, 2^{75634925575680} 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 75634925575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140758760862720).

75634925575680 is an abundant number, since it is smaller than the sum of its proper divisors (205882596149760).

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

75634925575680 is an equidigital number, since it uses as much as digits as its factorization.

75634925575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7581 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 1905120000, while the sum is 72.

The spelling of 75634925575680 in words is "seventy-five trillion, six hundred thirty-four billion, nine hundred twenty-five million, five hundred seventy-five thousand, six hundred eighty".