7540452000 has 720 divisors, whose sum is σ = 30117375288. Its totient is φ = 1841356800.

The previous prime is 7540451993. The next prime is 7540452047. The reversal of 7540452000 is 2540457.

It can be written as a sum of positive squares in 12 ways, for example, as 1089792144 + 6450659856 = 33012^2 + 80316^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 203795982 + ... + 203796018.

Almost surely, 2^7540452000 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 7540452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058687644).

7540452000 is an abundant number, since it is smaller than the sum of its proper divisors (22576923288).

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

7540452000 is a wasteful number, since it uses less digits than its factorization.

7540452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 7540452000 is about 86835.7760372993. The cubic root of 7540452000 is about 1960.9467174321.

Adding to 7540452000 its reverse (2540457), we get a palindrome (7542992457).

The spelling of 7540452000 in words is "seven billion, five hundred forty million, four hundred fifty-two thousand".