96247763136 has 672 divisors, whose sum is σ = 358591104000. Its totient is φ = 25141487616.

The previous prime is 96247763123. The next prime is 96247763141. The reversal of 96247763136 is 63136774269.

It is a happy number.

96247763136 is a `hidden beast` number, since 9 + 624 + 7 + 7 + 6 + 3 + 1 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a nude number because it is divisible by every one of its digits.

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 95 ways as a sum of consecutive naturals, for example, 46653241 + ... + 46655303.

Almost surely, 2^96247763136 is an apocalyptic number.

96247763136 is a gapful number since it is divisible by the number (96) 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 96247763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179295552000).

96247763136 is an abundant number, since it is smaller than the sum of its proper divisors (262343340864).

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

96247763136 is a wasteful number, since it uses less digits than its factorization.

96247763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2123 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 96247763136 in words is "ninety-six billion, two hundred forty-seven million, seven hundred sixty-three thousand, one hundred thirty-six".