7257623040 has 480 divisors, whose sum is σ = 27002289600. Its totient is φ = 1796014080.

The previous prime is 7257623029. The next prime is 7257623041. The reversal of 7257623040 is 403267527.

It is a happy number.

7257623040 is a `hidden beast` number, since 7 + 25 + 7 + 623 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7257622986 and 7257623004.

It is not an unprimeable number, because it can be changed into a prime (7257623041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25827700 + ... + 25827980.

It is an arithmetic number, because the mean of its divisors is an integer number (56254770).

Almost surely, 2^7257623040 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 7257623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13501144800).

7257623040 is an abundant number, since it is smaller than the sum of its proper divisors (19744666560).

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

7257623040 is a wasteful number, since it uses less digits than its factorization.

7257623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

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

The square root of 7257623040 is about 85191.6841012079. The cubic root of 7257623040 is about 1936.1164240256.

The spelling of 7257623040 in words is "seven billion, two hundred fifty-seven million, six hundred twenty-three thousand, forty".