6406513344 has 448 divisors, whose sum is σ = 23789030400. Its totient is φ = 1642291200.

The previous prime is 6406513303. The next prime is 6406513381. The reversal of 6406513344 is 4433156046.

6406513344 is a `hidden beast` number, since 640 + 6 + 5 + 1 + 3 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6406513299 and 6406513308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11841714 + ... + 11842254.

Almost surely, 2^6406513344 is an apocalyptic number.

6406513344 is a gapful number since it is divisible by the number (64) 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 6406513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894515200).

6406513344 is an abundant number, since it is smaller than the sum of its proper divisors (17382517056).

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

6406513344 is a wasteful number, since it uses less digits than its factorization.

6406513344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 6406513344 is about 80040.6980479306. The cubic root of 6406513344 is about 1857.2651587510.

The spelling of 6406513344 in words is "six billion, four hundred six million, five hundred thirteen thousand, three hundred forty-four".