6437401344 has 432 divisors, whose sum is σ = 21530678400. Its totient is φ = 1894717440.

The previous prime is 6437401331. The next prime is 6437401351. The reversal of 6437401344 is 4431047346.

6437401344 is a `hidden beast` number, since 643 + 7 + 4 + 0 + 1 + 3 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 6437401299 and 6437401308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35963047 + ... + 35963225.

Almost surely, 2^6437401344 is an apocalyptic number.

6437401344 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 6437401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765339200).

6437401344 is an abundant number, since it is smaller than the sum of its proper divisors (15093277056).

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

6437401344 is a wasteful number, since it uses less digits than its factorization.

6437401344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6437401344 is about 80233.4178755960. The cubic root of 6437401344 is about 1860.2452122081.

The spelling of 6437401344 in words is "six billion, four hundred thirty-seven million, four hundred one thousand, three hundred forty-four".