7540540800 has 768 divisors, whose sum is σ = 29068139520. Its totient is φ = 1703116800.

The previous prime is 7540540769. The next prime is 7540540801. The reversal of 7540540800 is 80450457.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540540801) 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 95 ways as a sum of consecutive naturals, for example, 106204765 + ... + 106204835.

It is an arithmetic number, because the mean of its divisors is an integer number (37849140).

Almost surely, 2^7540540800 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 7540540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534069760).

7540540800 is an abundant number, since it is smaller than the sum of its proper divisors (21527598720).

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

7540540800 is a wasteful number, since it uses less digits than its factorization.

7540540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 7540540800 is about 86836.2873457865. The cubic root of 7540540800 is about 1960.9544150867.

The spelling of 7540540800 in words is "seven billion, five hundred forty million, five hundred forty thousand, eight hundred".