6406530400 has 72 divisors (see below), whose sum is σ = 16319986704. Its totient is φ = 2451187200.

The previous prime is 6406530373. The next prime is 6406530413. The reversal of 6406530400 is 40356046.

It is a super-2 number, since 2×6406530400² = 82087263532248320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155691 + ... + 192490.

It is an arithmetic number, because the mean of its divisors is an integer number (226666482).

Almost surely, 2^6406530400 is an apocalyptic number.

It is an amenable number.

6406530400 is an abundant number, since it is smaller than the sum of its proper divisors (9913456304).

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

6406530400 is a wasteful number, since it uses less digits than its factorization.

6406530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348224 (or 348211 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 6406530400 is about 80040.8045936571. The cubic root of 6406530400 is about 1857.2668069427.

Adding to 6406530400 its reverse (40356046), we get a palindrome (6446886446).

The spelling of 6406530400 in words is "six billion, four hundred six million, five hundred thirty thousand, four hundred".