96348692643840 has 5760 divisors, whose sum is σ = 477692565181920. Its totient is φ = 18125735067648.

The previous prime is 96348692643839. The next prime is 96348692643851. The reversal of 96348692643840 is 4834629684369.

96348692643840 is a `hidden beast` number, since 9 + 6 + 3 + 486 + 9 + 2 + 64 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 5070983823351 + ... + 5070983823369.

Almost surely, 2^{96348692643840} is an apocalyptic number.

96348692643840 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 96348692643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238846282590960).

96348692643840 is an abundant number, since it is smaller than the sum of its proper divisors (381343872538080).

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

96348692643840 is a wasteful number, since it uses less digits than its factorization.

96348692643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1289945088, while the sum is 72.

The spelling of 96348692643840 in words is "ninety-six trillion, three hundred forty-eight billion, six hundred ninety-two million, six hundred forty-three thousand, eight hundred forty".