75268776960 has 880 divisors, whose sum is σ = 303596891136. Its totient is φ = 17692950528.

The previous prime is 75268776931. The next prime is 75268776971. The reversal of 75268776960 is 6967786257.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124000977 + ... + 124001583.

Almost surely, 2^75268776960 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 75268776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151798445568).

75268776960 is an abundant number, since it is smaller than the sum of its proper divisors (228328114176).

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

75268776960 is a wasteful number, since it uses less digits than its factorization.

75268776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 75268776960 in words is "seventy-five billion, two hundred sixty-eight million, seven hundred seventy-six thousand, nine hundred sixty".