6437406456 has 192 divisors, whose sum is σ = 20220127200. Its totient is φ = 1832361984.

The previous prime is 6437406449. The next prime is 6437406467. The reversal of 6437406456 is 6546047346.

It is a happy number.

It is a congruent number.

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, 935380 + ... + 942236.

Almost surely, 2^6437406456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6437406456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110063600).

6437406456 is an abundant number, since it is smaller than the sum of its proper divisors (13782720744).

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

6437406456 is a wasteful number, since it uses less digits than its factorization.

6437406456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6958 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 6437406456 is about 80233.4497326396. The cubic root of 6437406456 is about 1860.2457046206.

The spelling of 6437406456 in words is "six billion, four hundred thirty-seven million, four hundred six thousand, four hundred fifty-six".