5467424688000 has 1152 divisors, whose sum is σ = 21715101626400. Its totient is φ = 1317279744000.

The previous prime is 5467424687953. The next prime is 5467424688001. The reversal of 5467424688000 is 8864247645.

It is a happy number.

5467424688000 is a `hidden beast` number, since 5 + 4 + 67 + 42 + 468 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5467424688001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3118895124 + ... + 3118896876.

Almost surely, 2^{5467424688000} is an apocalyptic number.

5467424688000 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 5467424688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857550813200).

5467424688000 is an abundant number, since it is smaller than the sum of its proper divisors (16247676938400).

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

5467424688000 is a wasteful number, since it uses less digits than its factorization.

5467424688000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 5467424688000 in words is "five trillion, four hundred sixty-seven billion, four hundred twenty-four million, six hundred eighty-eight thousand".