7504248640 has 224 divisors, whose sum is σ = 21515466240. Its totient is φ = 2437349376.

The previous prime is 7504248623. The next prime is 7504248643. The reversal of 7504248640 is 468424057.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 7504248593 and 7504248602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7504248643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5821116 + ... + 5822404.

Almost surely, 2^7504248640 is an apocalyptic number.

7504248640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7504248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10757733120).

7504248640 is an abundant number, since it is smaller than the sum of its proper divisors (14011217600).

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

7504248640 is a wasteful number, since it uses less digits than its factorization.

7504248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 7504248640 is about 86627.0664399990. The cubic root of 7504248640 is about 1957.8033699952.

The spelling of 7504248640 in words is "seven billion, five hundred four million, two hundred forty-eight thousand, six hundred forty".