5467730688000 has 1920 divisors, whose sum is σ = 23547825100800. Its totient is φ = 1236197376000.

The previous prime is 5467730687981. The next prime is 5467730688001. The reversal of 5467730688000 is 8860377645.

5467730688000 is a `hidden beast` number, since 546 + 7 + 7 + 30 + 68 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5467730688001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20176127865 + ... + 20176128135.

It is an arithmetic number, because the mean of its divisors is an integer number (12264492240).

Almost surely, 2^{5467730688000} is an apocalyptic number.

5467730688000 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 5467730688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11773912550400).

5467730688000 is an abundant number, since it is smaller than the sum of its proper divisors (18080094412800).

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

5467730688000 is a wasteful number, since it uses less digits than its factorization.

5467730688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 5467730688000 in words is "five trillion, four hundred sixty-seven billion, seven hundred thirty million, six hundred eighty-eight thousand".