75168688896 has 864 divisors, whose sum is σ = 277131079680. Its totient is φ = 19110297600.

The previous prime is 75168688873. The next prime is 75168688901. The reversal of 75168688896 is 69888686157.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 389474976 + ... + 389475168.

Almost surely, 2^75168688896 is an apocalyptic number.

75168688896 is a gapful number since it is divisible by the number (76) 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 75168688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138565539840).

75168688896 is an abundant number, since it is smaller than the sum of its proper divisors (201962390784).

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

75168688896 is a wasteful number, since it uses less digits than its factorization.

75168688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 75168688896 in words is "seventy-five billion, one hundred sixty-eight million, six hundred eighty-eight thousand, eight hundred ninety-six".