7542720000 has 600 divisors, whose sum is σ = 28500608136. Its totient is φ = 1990656000.

The previous prime is 7542719993. The next prime is 7542720001. The reversal of 7542720000 is 272457.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7542720001) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 77759952 + ... + 77760048.

Almost surely, 2^7542720000 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 7542720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14250304068).

7542720000 is an abundant number, since it is smaller than the sum of its proper divisors (20957888136).

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

7542720000 is an frugal number, since it uses more digits than its factorization.

7542720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7542720000 is about 86848.8341890667. The cubic root of 7542720000 is about 1961.1433007551.

Adding to 7542720000 its reverse (272457), we get a palindrome (7542992457).

The spelling of 7542720000 in words is "seven billion, five hundred forty-two million, seven hundred twenty thousand".