7520375780640 has 672 divisors, whose sum is σ = 28282341386880. Its totient is φ = 1882298621952.

The previous prime is 7520375780639. The next prime is 7520375780669. The reversal of 7520375780640 is 460875730257.

It is a happy number.

7520375780640 is a `hidden beast` number, since 7 + 5 + 2 + 0 + 3 + 7 + 578 + 0 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 751506517 + ... + 751516523.

It is an arithmetic number, because the mean of its divisors is an integer number (42086817540).

Almost surely, 2^{7520375780640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7520375780640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141170693440).

7520375780640 is an abundant number, since it is smaller than the sum of its proper divisors (20761965606240).

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

7520375780640 is a wasteful number, since it uses less digits than its factorization.

7520375780640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 7520375780640 in words is "seven trillion, five hundred twenty billion, three hundred seventy-five million, seven hundred eighty thousand, six hundred forty".