96767367840 has 576 divisors, whose sum is σ = 408384063360. Its totient is φ = 20513710080.

The previous prime is 96767367839. The next prime is 96767367841. The reversal of 96767367840 is 4876376769.

It is an interprime number because it is at equal distance from previous prime (96767367839) and next prime (96767367841).

It is not an unprimeable number, because it can be changed into a prime (96767367841) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3900114 + ... + 3924846.

It is an arithmetic number, because the mean of its divisors is an integer number (709000110).

Almost surely, 2^96767367840 is an apocalyptic number.

96767367840 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 96767367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204192031680).

96767367840 is an abundant number, since it is smaller than the sum of its proper divisors (311616695520).

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

96767367840 is a wasteful number, since it uses less digits than its factorization.

96767367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24797 (or 24786 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 96767367840 in words is "ninety-six billion, seven hundred sixty-seven million, three hundred sixty-seven thousand, eight hundred forty".