7538552000 has 168 divisors, whose sum is σ = 21718389888. Its totient is φ = 2584512000.

The previous prime is 7538551997. The next prime is 7538552003. The reversal of 7538552000 is 2558357.

It is an interprime number because it is at equal distance from previous prime (7538551997) and next prime (7538552003).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (7538552003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382385 + ... + 401615.

Almost surely, 2^7538552000 is an apocalyptic number.

7538552000 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 7538552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10859194944).

7538552000 is an abundant number, since it is smaller than the sum of its proper divisors (14179837888).

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

7538552000 is a wasteful number, since it uses less digits than its factorization.

7538552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19272 (or 19245 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 7538552000 is about 86824.8351567684. The cubic root of 7538552000 is about 1960.7820008809.

The spelling of 7538552000 in words is "seven billion, five hundred thirty-eight million, five hundred fifty-two thousand".