7776006336 has 336 divisors, whose sum is σ = 26977287168. Its totient is φ = 2093414400.

The previous prime is 7776006307. The next prime is 7776006349. The reversal of 7776006336 is 6336006777.

7776006336 is a `hidden beast` number, since 7 + 7 + 7 + 6 + 0 + 0 + 633 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 7776006291 and 7776006300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6583666 + ... + 6584846.

Almost surely, 2^7776006336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7776006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488643584).

7776006336 is an abundant number, since it is smaller than the sum of its proper divisors (19201280832).

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

7776006336 is a wasteful number, since it uses less digits than its factorization.

7776006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 45.

The square root of 7776006336 is about 88181.6666660367. Note that the first 6 decimals coincide. The cubic root of 7776006336 is about 1981.1568874285.

The spelling of 7776006336 in words is "seven billion, seven hundred seventy-six million, six thousand, three hundred thirty-six".