96093494640 has 720 divisors, whose sum is σ = 395483437440. Its totient is φ = 21495352320.

The previous prime is 96093494617. The next prime is 96093494647. The reversal of 96093494640 is 4649439069.

96093494640 is a `hidden beast` number, since 9 + 6 + 0 + 93 + 494 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96093494647) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36137631 + ... + 36140289.

It is an arithmetic number, because the mean of its divisors is an integer number (549282552).

Almost surely, 2^96093494640 is an apocalyptic number.

96093494640 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 96093494640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197741718720).

96093494640 is an abundant number, since it is smaller than the sum of its proper divisors (299389942800).

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

96093494640 is a wasteful number, since it uses less digits than its factorization.

96093494640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2724 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 96093494640 in words is "ninety-six billion, ninety-three million, four hundred ninety-four thousand, six hundred forty".