7984023083520 has 640 divisors, whose sum is σ = 28355745116160. Its totient is φ = 1900093440000.

The previous prime is 7984023083501. The next prime is 7984023083527. The reversal of 7984023083520 is 253803204897.

It is a tau number, because it is divible by the number of its divisors (640).

It is not an unprimeable number, because it can be changed into a prime (7984023083527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3396010345 + ... + 3396012695.

It is an arithmetic number, because the mean of its divisors is an integer number (44305851744).

Almost surely, 2^{7984023083520} 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 7984023083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177872558080).

7984023083520 is an abundant number, since it is smaller than the sum of its proper divisors (20371722032640).

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

7984023083520 is a wasteful number, since it uses less digits than its factorization.

7984023083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3108 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 7984023083520 in words is "seven trillion, nine hundred eighty-four billion, twenty-three million, eighty-three thousand, five hundred twenty".