7996543188480 has 2560 divisors, whose sum is σ = 38719533219840. Its totient is φ = 1512898560000.

The previous prime is 7996543188479. The next prime is 7996543188499. The reversal of 7996543188480 is 848813456997.

7996543188480 is a `hidden beast` number, since 7 + 9 + 9 + 65 + 4 + 3 + 1 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7996543188399 and 7996543188408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2804819055 + ... + 2804821905.

It is an arithmetic number, because the mean of its divisors is an integer number (15124817664).

Almost surely, 2^{7996543188480} is an apocalyptic number.

7996543188480 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 7996543188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19359766609920).

7996543188480 is an abundant number, since it is smaller than the sum of its proper divisors (30722990031360).

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

7996543188480 is a wasteful number, since it uses less digits than its factorization.

7996543188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2949 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 7996543188480 in words is "seven trillion, nine hundred ninety-six billion, five hundred forty-three million, one hundred eighty-eight thousand, four hundred eighty".