95631728640 has 448 divisors, whose sum is σ = 354740967936. Its totient is φ = 21545091072.

The previous prime is 95631728623. The next prime is 95631728671. The reversal of 95631728640 is 4682713659.

It is a tau number, because it is divible by the number of its divisors (448).

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, 62790919 + ... + 62792441.

It is a 2-persistent number, because it is pandigital, and so is 2⋅95631728640 = 191263457280, but 3⋅95631728640 = 286895185920 is not.

Almost surely, 2^95631728640 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 95631728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177370483968).

95631728640 is an abundant number, since it is smaller than the sum of its proper divisors (259109239296).

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

95631728640 is a wasteful number, since it uses less digits than its factorization.

95631728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 95631728640 in words is "ninety-five billion, six hundred thirty-one million, seven hundred twenty-eight thousand, six hundred forty".