7990933547520 has 5760 divisors, whose sum is σ = 40739852482560. Its totient is φ = 1471492915200.

The previous prime is 7990933547507. The next prime is 7990933547521. The reversal of 7990933547520 is 257453390997.

7990933547520 is a `hidden beast` number, since 7 + 9 + 9 + 0 + 9 + 33 + 547 + 52 + 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 (63).

It is not an unprimeable number, because it can be changed into a prime (7990933547521) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 215971176942 + ... + 215971176978.

It is an arithmetic number, because the mean of its divisors is an integer number (7072891056).

Almost surely, 2^{7990933547520} is an apocalyptic number.

7990933547520 is a gapful number since it is divisible by the number (70) 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 7990933547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20369926241280).

7990933547520 is an abundant number, since it is smaller than the sum of its proper divisors (32748918935040).

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

7990933547520 is a wasteful number, since it uses less digits than its factorization.

7990933547520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 64297800, while the sum is 63.

The spelling of 7990933547520 in words is "seven trillion, nine hundred ninety billion, nine hundred thirty-three million, five hundred forty-seven thousand, five hundred twenty".