96720640380 has 720 divisors, whose sum is σ = 400190424480. Its totient is φ = 19329020928.

The previous prime is 96720640351. The next prime is 96720640381. The reversal of 96720640380 is 8304602769.

96720640380 is a `hidden beast` number, since 9 + 67 + 206 + 4 + 0 + 380 = 666.

96720640380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96720640381) 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 239 ways as a sum of consecutive naturals, for example, 19604394 + ... + 19609326.

It is an arithmetic number, because the mean of its divisors is an integer number (555820034).

Almost surely, 2^96720640380 is an apocalyptic number.

96720640380 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 96720640380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200095212240).

96720640380 is an abundant number, since it is smaller than the sum of its proper divisors (303469784100).

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

96720640380 is a wasteful number, since it uses less digits than its factorization.

96720640380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96720640380 in words is "ninety-six billion, seven hundred twenty million, six hundred forty thousand, three hundred eighty".