7509050640 has 480 divisors, whose sum is σ = 32047282176. Its totient is φ = 1532805120.

The previous prime is 7509050639. The next prime is 7509050687. The reversal of 7509050640 is 460509057.

7509050640 is a `hidden beast` number, since 7 + 5 + 0 + 9 + 0 + 5 + 0 + 640 = 666.

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 = 7509050595 and 7509050604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2029272 + ... + 2032968.

Almost surely, 2^7509050640 is an apocalyptic number.

7509050640 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 7509050640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16023641088).

7509050640 is an abundant number, since it is smaller than the sum of its proper divisors (24538231536).

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

7509050640 is a wasteful number, since it uses less digits than its factorization.

7509050640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3767 (or 3758 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7509050640 is about 86654.7785179790. The cubic root of 7509050640 is about 1958.2208831321.

Adding to 7509050640 its reverse (460509057), we get a palindrome (7969559697).

The spelling of 7509050640 in words is "seven billion, five hundred nine million, fifty thousand, six hundred forty".