7467485328900 has 567 divisors, whose sum is σ = 25234521704301. Its totient is φ = 1917153826560.

The previous prime is 7467485328893. The next prime is 7467485328923. The reversal of 7467485328900 is 98235847647.

The square root of 7467485328900 is 2732670.

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

7467485328900 is a `hidden beast` number, since 7 + 4 + 6 + 7 + 4 + 8 + 532 + 8 + 90 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2802818402244 + 4664666926656 = 1674162^2 + 2159784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 21396805926 + ... + 21396806274.

Almost surely, 2^{7467485328900} is an apocalyptic number.

7467485328900 is the 2732670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7467485328900

7467485328900 is an abundant number, since it is smaller than the sum of its proper divisors (17767036375401).

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

7467485328900 is an equidigital number, since it uses as much as digits as its factorization.

7467485328900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7467485328900 in words is "seven trillion, four hundred sixty-seven billion, four hundred eighty-five million, three hundred twenty-eight thousand, nine hundred".