2768979200625 has 135 divisors (see below), whose sum is σ = 5496334987143. Its totient is φ = 1341869760000.

The previous prime is 2768979200597. The next prime is 2768979200737. The reversal of 2768979200625 is 5260029798672.

The square root of 2768979200625 is 1664025.

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

It can be written as a sum of positive squares in 7 ways, for example, as 1114648181361 + 1654331019264 = 1055769^2 + 1286208^2 .

It is not a de Polignac number, because 2768979200625 - 2¹¹ = 2768979198577 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1372819617 + ... + 1372821633.

Almost surely, 2^{2768979200625} is an apocalyptic number.

2768979200625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2768979200625 is the 1664025-th square number.

2768979200625 is the 832013-rd centered octagonal number.

It is an amenable number.

2768979200625 is a deficient number, since it is larger than the sum of its proper divisors (2727355786518).

2768979200625 is an frugal number, since it uses more digits than its factorization.

2768979200625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4082 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 2768979200625 in words is "two trillion, seven hundred sixty-eight billion, nine hundred seventy-nine million, two hundred thousand, six hundred twenty-five".