7406745300 has 540 divisors, whose sum is σ = 27010575900. Its totient is φ = 1749288960.

The previous prime is 7406745293. The next prime is 7406745301. The reversal of 7406745300 is 35476047.

It can be written as a sum of positive squares in 6 ways, for example, as 328551876 + 7078193424 = 18126^2 + 84132^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406745301) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 49709626 + ... + 49709774.

It is an arithmetic number, because the mean of its divisors is an integer number (50019585).

Almost surely, 2^7406745300 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 7406745300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13505287950).

7406745300 is an abundant number, since it is smaller than the sum of its proper divisors (19603830600).

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

7406745300 is a wasteful number, since it uses less digits than its factorization.

7406745300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 7406745300 is about 86062.4499999855. The cubic root of 7406745300 is about 1949.2870766639.

The spelling of 7406745300 in words is "seven billion, four hundred six million, seven hundred forty-five thousand, three hundred".