7521364890 has 256 divisors, whose sum is σ = 23526720000. Its totient is φ = 1693052928.

The previous prime is 7521364867. The next prime is 7521364897. The reversal of 7521364890 is 984631257.

7521364890 is a `hidden beast` number, since 7 + 521 + 36 + 4 + 8 + 90 = 666.

7521364890 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

7521364890 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (7521364897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1932066 + ... + 1935954.

It is an arithmetic number, because the mean of its divisors is an integer number (91901250).

It is a 1-persistent number, because it is pandigital, but 2⋅7521364890 = 15042729780 is not.

Almost surely, 2^7521364890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7521364890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763360000).

7521364890 is an abundant number, since it is smaller than the sum of its proper divisors (16005355110).

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

7521364890 is a wasteful number, since it uses less digits than its factorization.

7521364890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3966 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7521364890 is about 86725.8029077852. The cubic root of 7521364890 is about 1959.2907410483.

The spelling of 7521364890 in words is "seven billion, five hundred twenty-one million, three hundred sixty-four thousand, eight hundred ninety".