7488845844480 has 2496 divisors, whose sum is σ = 35827518924288. Its totient is φ = 1396325744640.

The previous prime is 7488845844439. The next prime is 7488845844533. The reversal of 7488845844480 is 844485488847.

It is a tau number, because it is divible by the number of its divisors (2496).

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 = 7488845844399 and 7488845844408.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6826659292 + ... + 6826660388.

It is an arithmetic number, because the mean of its divisors is an integer number (14353973928).

Almost surely, 2^{7488845844480} is an apocalyptic number.

7488845844480 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 7488845844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17913759462144).

7488845844480 is an abundant number, since it is smaller than the sum of its proper divisors (28338673079808).

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

7488845844480 is a wasteful number, since it uses less digits than its factorization.

7488845844480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1174405120, while the sum is 72.

The spelling of 7488845844480 in words is "seven trillion, four hundred eighty-eight billion, eight hundred forty-five million, eight hundred forty-four thousand, four hundred eighty".