95375646720 has 1120 divisors, whose sum is σ = 385367479200. Its totient is φ = 22422749184.

The previous prime is 95375646677. The next prime is 95375646733. The reversal of 95375646720 is 2764657359.

95375646720 is a `hidden beast` number, since 9 + 5 + 3 + 7 + 564 + 6 + 72 + 0 = 666.

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 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, 1071636436 + ... + 1071636524.

Almost surely, 2^95375646720 is an apocalyptic number.

95375646720 is a gapful number since it is divisible by the number (90) 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 95375646720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192683739600).

95375646720 is an abundant number, since it is smaller than the sum of its proper divisors (289991832480).

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

95375646720 is a wasteful number, since it uses less digits than its factorization.

95375646720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 95375646720 in words is "ninety-five billion, three hundred seventy-five million, six hundred forty-six thousand, seven hundred twenty".