6405964992 has 336 divisors, whose sum is σ = 22093074432. Its totient is φ = 1736017920.

The previous prime is 6405964987. The next prime is 6405964997. The reversal of 6405964992 is 2994695046.

It is a happy number.

6405964992 is a `hidden beast` number, since 6 + 4 + 0 + 596 + 49 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6405964987) and next prime (6405964997).

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

It is not an unprimeable number, because it can be changed into a prime (6405964997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6624093 + ... + 6625059.

Almost surely, 2^6405964992 is an apocalyptic number.

6405964992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6405964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046537216).

6405964992 is an abundant number, since it is smaller than the sum of its proper divisors (15687109440).

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

6405964992 is a wasteful number, since it uses less digits than its factorization.

6405964992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 6405964992 is about 80037.2725172466. The cubic root of 6405964992 is about 1857.2121676741.

The spelling of 6405964992 in words is "six billion, four hundred five million, nine hundred sixty-four thousand, nine hundred ninety-two".