96724170649920 has 2688 divisors, whose sum is σ = 375695434414080. Its totient is φ = 20884051722240.

The previous prime is 96724170649913. The next prime is 96724170649927. The reversal of 96724170649920 is 2994607142769.

It is an interprime number because it is at equal distance from previous prime (96724170649913) and next prime (96724170649927).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96724170649927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 706015844092 + ... + 706015844228.

Almost surely, 2^{96724170649920} 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 96724170649920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187847717207040).

96724170649920 is an abundant number, since it is smaller than the sum of its proper divisors (278971263764160).

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

96724170649920 is a wasteful number, since it uses less digits than its factorization.

96724170649920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 96724170649920 in words is "ninety-six trillion, seven hundred twenty-four billion, one hundred seventy million, six hundred forty-nine thousand, nine hundred twenty".