7488197750880 has 768 divisors, whose sum is σ = 34597902366720. Its totient is φ = 1464459264000.

The previous prime is 7488197750857. The next prime is 7488197750893. The reversal of 7488197750880 is 880577918847.

7488197750880 is a `hidden beast` number, since 7 + 48 + 8 + 1 + 9 + 77 + 508 + 8 + 0 = 666.

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 = 7488197750799 and 7488197750808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4992780 + ... + 6316980.

It is an arithmetic number, because the mean of its divisors is an integer number (45049352040).

Almost surely, 2^{7488197750880} is an apocalyptic number.

7488197750880 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 7488197750880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298951183360).

7488197750880 is an abundant number, since it is smaller than the sum of its proper divisors (27109704615840).

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

7488197750880 is a wasteful number, since it uses less digits than its factorization.

7488197750880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324260 (or 1324246 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 72.

The spelling of 7488197750880 in words is "seven trillion, four hundred eighty-eight billion, one hundred ninety-seven million, seven hundred fifty thousand, eight hundred eighty".