7282465920 has 512 divisors, whose sum is σ = 27863136000. Its totient is φ = 1791590400.

The previous prime is 7282465909. The next prime is 7282465921. The reversal of 7282465920 is 295642827.

It is a super-2 number, since 2×7282465920² (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 not an unprimeable number, because it can be changed into a prime (7282465921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13460850 + ... + 13461390.

Almost surely, 2^7282465920 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 7282465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931568000).

7282465920 is an abundant number, since it is smaller than the sum of its proper divisors (20580670080).

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

7282465920 is a wasteful number, since it uses less digits than its factorization.

7282465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7282465920 is about 85337.3653214112. The cubic root of 7282465920 is about 1938.3230202782.

The spelling of 7282465920 in words is "seven billion, two hundred eighty-two million, four hundred sixty-five thousand, nine hundred twenty".