7956818401 has 9 divisors (see below), whose sum is σ = 9256617201. Its totient is φ = 6819594852.

The previous prime is 7956818357. The next prime is 7956818407. The reversal of 7956818401 is 1048186597.

The square root of 7956818401 is 89201.

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

It is not a de Polignac number, because 7956818401 - 2¹¹ = 7956816353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7956818407) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 618036 + ... + 630778.

Almost surely, 2^7956818401 is an apocalyptic number.

7956818401 is the 89201-st square number.

7956818401 is the 44601-st centered octagonal number.

It is an amenable number.

7956818401 is a deficient number, since it is larger than the sum of its proper divisors (1299798800).

7956818401 is an frugal number, since it uses more digits than its factorization.

7956818401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25500 (or 12750 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 49.

The cubic root of 7956818401 is about 1996.3950394505.

Multiplying 7956818401 by its sum of digits (49), we get a square (389884101649 = 624407²).

7956818401 divided by its sum of digits (49) gives a square (162384049 = 12743²).

It can be divided in two parts, 79568 and 18401, that added together give a square (97969 = 313²).

The spelling of 7956818401 in words is "seven billion, nine hundred fifty-six million, eight hundred eighteen thousand, four hundred one".