75548040960 has 288 divisors, whose sum is σ = 276284961792. Its totient is φ = 17234657280.

The previous prime is 75548040947. The next prime is 75548040991. The reversal of 75548040960 is 6904084557.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15507325 + ... + 15512195.

It is an arithmetic number, because the mean of its divisors is an integer number (959322784).

Almost surely, 2^75548040960 is an apocalyptic number.

75548040960 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 75548040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138142480896).

75548040960 is an abundant number, since it is smaller than the sum of its proper divisors (200736920832).

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

75548040960 is a wasteful number, since it uses less digits than its factorization.

75548040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 75548040960 in words is "seventy-five billion, five hundred forty-eight million, forty thousand, nine hundred sixty".