95763619728 has 480 divisors, whose sum is σ = 331590205440. Its totient is φ = 25191336960.

The previous prime is 95763619687. The next prime is 95763619769. The reversal of 95763619728 is 82791636759.

95763619728 is a `hidden beast` number, since 9 + 5 + 7 + 6 + 3 + 619 + 7 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (95763619687) and next prime (95763619769).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 171927226 + ... + 171927782.

It is an arithmetic number, because the mean of its divisors is an integer number (690812928).

Almost surely, 2^95763619728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95763619728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165795102720).

95763619728 is an abundant number, since it is smaller than the sum of its proper divisors (235826585712).

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

95763619728 is a wasteful number, since it uses less digits than its factorization.

95763619728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 826 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 63.

The spelling of 95763619728 in words is "ninety-five billion, seven hundred sixty-three million, six hundred nineteen thousand, seven hundred twenty-eight".