7505438552064 has 208 divisors, whose sum is σ = 22252266904800. Its totient is φ = 2499940122624.

The previous prime is 7505438552063. The next prime is 7505438552069. The reversal of 7505438552064 is 4602558345057.

7505438552064 is a `hidden beast` number, since 7 + 5 + 0 + 54 + 3 + 8 + 5 + 520 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7505438552064.

It is not an unprimeable number, because it can be changed into a prime (7505438552063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151818102 + ... + 151867530.

Almost surely, 2^{7505438552064} 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 7505438552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11126133452400).

7505438552064 is an abundant number, since it is smaller than the sum of its proper divisors (14746828352736).

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

7505438552064 is a wasteful number, since it uses less digits than its factorization.

7505438552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50835 (or 50807 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 7505438552064 in words is "seven trillion, five hundred five billion, four hundred thirty-eight million, five hundred fifty-two thousand, sixty-four".