7506504040 has 216 divisors, whose sum is σ = 20938879890. Its totient is φ = 2414530944.

The previous prime is 7506504013. The next prime is 7506504041. The reversal of 7506504040 is 404056057.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6755853636 + 750650404 = 82194^2 + 27398^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7506503993 and 7506504011.

It is not an unprimeable number, because it can be changed into a prime (7506504041) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 72878629 + ... + 72878731.

Almost surely, 2^7506504040 is an apocalyptic number.

7506504040 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 7506504040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10469439945).

7506504040 is an abundant number, since it is smaller than the sum of its proper divisors (13432375850).

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

7506504040 is a wasteful number, since it uses less digits than its factorization.

7506504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 7506504040 is about 86640.0833332933. The cubic root of 7506504040 is about 1957.9994894485. Note that the first 3 decimals are identical.

The spelling of 7506504040 in words is "seven billion, five hundred six million, five hundred four thousand, forty".