7253467920 has 160 divisors (see below), whose sum is σ = 25336592640. Its totient is φ = 1906974720.

The previous prime is 7253467919. The next prime is 7253467939. The reversal of 7253467920 is 297643527.

It is a super-2 number, since 2×7253467920² (a number of 21 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 129712 + ... + 177008.

It is an arithmetic number, because the mean of its divisors is an integer number (158353704).

Almost surely, 2^7253467920 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 7253467920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12668296320).

7253467920 is an abundant number, since it is smaller than the sum of its proper divisors (18083124720).

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

7253467920 is a wasteful number, since it uses less digits than its factorization.

7253467920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47390 (or 47378 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7253467920 is about 85167.2937224144. The cubic root of 7253467920 is about 1935.7468663075.

The spelling of 7253467920 in words is "seven billion, two hundred fifty-three million, four hundred sixty-seven thousand, nine hundred twenty".