75783912960 has 640 divisors, whose sum is σ = 286798786560. Its totient is φ = 16713252864.

The previous prime is 75783912937. The next prime is 75783912977. The reversal of 75783912960 is 6921938757.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 75783912960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224877912 + ... + 224878248.

It is an arithmetic number, because the mean of its divisors is an integer number (448123104).

Almost surely, 2^75783912960 is an apocalyptic number.

75783912960 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 75783912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143399393280).

75783912960 is an abundant number, since it is smaller than the sum of its proper divisors (211014873600).

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

75783912960 is a wasteful number, since it uses less digits than its factorization.

75783912960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 75783912960 in words is "seventy-five billion, seven hundred eighty-three million, nine hundred twelve thousand, nine hundred sixty".