7648418494080 has 2560 divisors, whose sum is σ = 35826333903360. Its totient is φ = 1508949098496.

The previous prime is 7648418494043. The next prime is 7648418494141. The reversal of 7648418494080 is 804948148467.

7648418494080 is a `hidden beast` number, since 7 + 6 + 48 + 4 + 184 + 9 + 408 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 7648418493999 and 7648418494017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22695603672 + ... + 22695604008.

It is an arithmetic number, because the mean of its divisors is an integer number (13994661681).

Almost surely, 2^{7648418494080} is an apocalyptic number.

7648418494080 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 7648418494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913166951680).

7648418494080 is an abundant number, since it is smaller than the sum of its proper divisors (28177915409280).

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

7648418494080 is a wasteful number, since it uses less digits than its factorization.

7648418494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 7648418494080 in words is "seven trillion, six hundred forty-eight billion, four hundred eighteen million, four hundred ninety-four thousand, eighty".