96729010560 has 1152 divisors, whose sum is σ = 429311806560. Its totient is φ = 19880017920.

The previous prime is 96729010537. The next prime is 96729010589. The reversal of 96729010560 is 6501092769.

It is a happy number.

96729010560 is a `hidden beast` number, since 9 + 6 + 72 + 9 + 0 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150433599 + ... + 150434241.

Almost surely, 2^96729010560 is an apocalyptic number.

96729010560 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 96729010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214655903280).

96729010560 is an abundant number, since it is smaller than the sum of its proper divisors (332582796000).

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

96729010560 is a wasteful number, since it uses less digits than its factorization.

96729010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 96729010560 in words is "ninety-six billion, seven hundred twenty-nine million, ten thousand, five hundred sixty".