96946517640000 has 840 divisors, whose sum is σ = 373220192933280. Its totient is φ = 22137733632000.

The previous prime is 96946517639999. The next prime is 96946517640001. The reversal of 96946517640000 is 4671564969.

It is an interprime number because it is at equal distance from previous prime (96946517639999) and next prime (96946517640001).

It is a tau number, because it is divible by the number of its divisors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96946517640001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6520912567 + ... + 6520927433.

It is an arithmetic number, because the mean of its divisors is an integer number (444309753492).

Almost surely, 2^{96946517640000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96946517640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186610096466640).

96946517640000 is an abundant number, since it is smaller than the sum of its proper divisors (276273675293280).

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

96946517640000 is a wasteful number, since it uses less digits than its factorization.

96946517640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16025 (or 15993 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 57.

The spelling of 96946517640000 in words is "ninety-six trillion, nine hundred forty-six billion, five hundred seventeen million, six hundred forty thousand".