5468070326400 has 384 divisors, whose sum is σ = 21830860324800. Its totient is φ = 1325592576000.

The previous prime is 5468070326393. The next prime is 5468070326473. The reversal of 5468070326400 is 46230708645.

5468070326400 is a `hidden beast` number, since 546 + 8 + 0 + 70 + 32 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1926321 + ... + 3827120.

Almost surely, 2^{5468070326400} is an apocalyptic number.

5468070326400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5468070326400 is an abundant number, since it is smaller than the sum of its proper divisors (16362789998400).

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

5468070326400 is a wasteful number, since it uses less digits than its factorization.

5468070326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753485 (or 5753462 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 5468070326400 in words is "five trillion, four hundred sixty-eight billion, seventy million, three hundred twenty-six thousand, four hundred".