6400400977 has 2 divisors, whose sum is σ = 6400400978. Its totient is φ = 6400400976.

The previous prime is 6400400959. The next prime is 6400400989. The reversal of 6400400977 is 7790040046.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4245955921 + 2154445056 = 65161^2 + 46416^2 .

It is a cyclic number.

It is not a de Polignac number, because 6400400977 - 2¹¹ = 6400398929 is a prime.

It is not a weakly prime, because it can be changed into another prime (6400400927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3200200488 + 3200200489.

It is an arithmetic number, because the mean of its divisors is an integer number (3200200489).

Almost surely, 2^6400400977 is an apocalyptic number.

It is an amenable number.

6400400977 is a deficient number, since it is larger than the sum of its proper divisors (1).

6400400977 is an equidigital number, since it uses as much as digits as its factorization.

6400400977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 6400400977 is about 80002.5060669977. The cubic root of 6400400977 is about 1856.6743070180.

The spelling of 6400400977 in words is "six billion, four hundred million, four hundred thousand, nine hundred seventy-seven".