7540316000 has 576 divisors, whose sum is σ = 23877794304. Its totient is φ = 2322432000.

The previous prime is 7540315963. The next prime is 7540316101. The reversal of 7540316000 is 6130457.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 103291964 + ... + 103292036.

It is an arithmetic number, because the mean of its divisors is an integer number (41454504).

Almost surely, 2^7540316000 is an apocalyptic number.

7540316000 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 7540316000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938897152).

7540316000 is an abundant number, since it is smaller than the sum of its proper divisors (16337478304).

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

7540316000 is a wasteful number, since it uses less digits than its factorization.

7540316000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 7540316000 is about 86834.9929463923. The cubic root of 7540316000 is about 1960.9349281142.

Adding to 7540316000 its reverse (6130457), we get a palindrome (7546446457).

The spelling of 7540316000 in words is "seven billion, five hundred forty million, three hundred sixteen thousand".