75864342528 has 576 divisors, whose sum is σ = 258955341120. Its totient is φ = 21743271936.

The previous prime is 75864342493. The next prime is 75864342559. The reversal of 75864342528 is 82524346857.

75864342528 is a `hidden beast` number, since 7 + 5 + 86 + 4 + 34 + 2 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

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, 782106576 + ... + 782106672.

It is an arithmetic number, because the mean of its divisors is an integer number (449575245).

Almost surely, 2^75864342528 is an apocalyptic number.

75864342528 is a gapful number since it is divisible by the number (78) 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 75864342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129477670560).

75864342528 is an abundant number, since it is smaller than the sum of its proper divisors (183090998592).

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

75864342528 is an equidigital number, since it uses as much as digits as its factorization.

75864342528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 132 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 75864342528 in words is "seventy-five billion, eight hundred sixty-four million, three hundred forty-two thousand, five hundred twenty-eight".