75863208960 has 704 divisors, whose sum is σ = 336177008640. Its totient is φ = 15761571840.

The previous prime is 75863208923. The next prime is 75863208961. The reversal of 75863208960 is 6980236857.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 75863208897 and 75863208906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75863208961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10640917 + ... + 10648043.

It is an arithmetic number, because the mean of its divisors is an integer number (477524160).

Almost surely, 2^75863208960 is an apocalyptic number.

75863208960 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 75863208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168088504320).

75863208960 is an abundant number, since it is smaller than the sum of its proper divisors (260313799680).

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

75863208960 is a wasteful number, since it uses less digits than its factorization.

75863208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7179 (or 7155 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 75863208960 in words is "seventy-five billion, eight hundred sixty-three million, two hundred eight thousand, nine hundred sixty".