5468326822400 has 480 divisors, whose sum is σ = 14987013769728. Its totient is φ = 1964688998400.

The previous prime is 5468326822391. The next prime is 5468326822411. The reversal of 5468326822400 is 42286238645.

It is a super-2 number, since 2×5468326822400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 1415562869 + ... + 1415566731.

Almost surely, 2^{5468326822400} is an apocalyptic number.

5468326822400 is a gapful number since it is divisible by the number (50) 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 5468326822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7493506884864).

5468326822400 is an abundant number, since it is smaller than the sum of its proper divisors (9518686947328).

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

5468326822400 is a wasteful number, since it uses less digits than its factorization.

5468326822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4111 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 5468326822400 in words is "five trillion, four hundred sixty-eight billion, three hundred twenty-six million, eight hundred twenty-two thousand, four hundred".