5406503998464 has 616 divisors, whose sum is σ = 16527907051200. Its totient is φ = 1766571835392.

The previous prime is 5406503998417. The next prime is 5406503998471. The reversal of 5406503998464 is 4648993056045.

5406503998464 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 50 + 39 + 98 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 9025882837 + ... + 9025883435.

Almost surely, 2^{5406503998464} is an apocalyptic number.

5406503998464 is a gapful number since it is divisible by the number (54) 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 5406503998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263953525600).

5406503998464 is an abundant number, since it is smaller than the sum of its proper divisors (11121403052736).

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

5406503998464 is a wasteful number, since it uses less digits than its factorization.

5406503998464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 5406503998464 in words is "five trillion, four hundred six billion, five hundred three million, nine hundred ninety-eight thousand, four hundred sixty-four".