7506489600 has 405 divisors, whose sum is σ = 28328349413. Its totient is φ = 1896376320.

The previous prime is 7506489563. The next prime is 7506489623. The reversal of 7506489600 is 69846057.

The square root of 7506489600 is 86640.

It is a perfect power (a square), and thus also a powerful number.

7506489600 is a `hidden beast` number, since 7 + 506 + 4 + 89 + 60 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2702336256 + 4804153344 = 51984^2 + 69312^2 .

It is a super-2 number, since 2×7506489600² (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 a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 395078391 + ... + 395078409.

Almost surely, 2^7506489600 is an apocalyptic number.

7506489600 is the 86640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7506489600

7506489600 is an abundant number, since it is smaller than the sum of its proper divisors (20821859813).

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

7506489600 is an frugal number, since it uses more digits than its factorization.

7506489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 7506489600 is about 1957.9982339360.

The spelling of 7506489600 in words is "seven billion, five hundred six million, four hundred eighty-nine thousand, six hundred".