75075911680 has 384 divisors, whose sum is σ = 226759488480. Its totient is φ = 23357030400.

The previous prime is 75075911657. The next prime is 75075911699. The reversal of 75075911680 is 8611957057.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138772210 + ... + 138772750.

Almost surely, 2^75075911680 is an apocalyptic number.

75075911680 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 75075911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113379744240).

75075911680 is an abundant number, since it is smaller than the sum of its proper divisors (151683576800).

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

75075911680 is an equidigital number, since it uses as much as digits as its factorization.

75075911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 49.

The spelling of 75075911680 in words is "seventy-five billion, seventy-five million, nine hundred eleven thousand, six hundred eighty".