7538508000 has 480 divisors, whose sum is σ = 28255106880. Its totient is φ = 1967846400.

The previous prime is 7538507981. The next prime is 7538508013. The reversal of 7538508000 is 8058357.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17171781 + ... + 17172219.

It is an arithmetic number, because the mean of its divisors is an integer number (58864806).

Almost surely, 2^7538508000 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 7538508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14127553440).

7538508000 is an abundant number, since it is smaller than the sum of its proper divisors (20716598880).

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

7538508000 is a wasteful number, since it uses less digits than its factorization.

7538508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7538508000 is about 86824.5817726754. The cubic root of 7538508000 is about 1960.7781860645.

The spelling of 7538508000 in words is "seven billion, five hundred thirty-eight million, five hundred eight thousand".