7642626120900 has 243 divisors, whose sum is σ = 24882774740551. Its totient is φ = 2037436493760.

The previous prime is 7642626120859. The next prime is 7642626120929. The reversal of 7642626120900 is 90216262467.

The square root of 7642626120900 is 2764530.

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

7642626120900 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 626 + 12 + 0 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1177038387396 + 6465587733504 = 1084914^2 + 2542752^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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 80 ways as a sum of consecutive naturals, for example, 2239267594 + ... + 2239271006.

Almost surely, 2^{7642626120900} is an apocalyptic number.

7642626120900 is the 2764530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7642626120900

7642626120900 is an abundant number, since it is smaller than the sum of its proper divisors (17240148619651).

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

7642626120900 is an frugal number, since it uses more digits than its factorization.

7642626120900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6864 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 7642626120900 in words is "seven trillion, six hundred forty-two billion, six hundred twenty-six million, one hundred twenty thousand, nine hundred".