5467420728000 has 3584 divisors, whose sum is σ = 26999197655040. Its totient is φ = 1048412160000.

The previous prime is 5467420727981. The next prime is 5467420728079. The reversal of 5467420728000 is 8270247645.

It is a happy number.

5467420728000 is a `hidden beast` number, since 5 + 467 + 42 + 0 + 72 + 80 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 17247383842 + ... + 17247384158.

Almost surely, 2^{5467420728000} is an apocalyptic number.

5467420728000 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 5467420728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499598827520).

5467420728000 is an abundant number, since it is smaller than the sum of its proper divisors (21531776927040).

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

5467420728000 is a wasteful number, since it uses less digits than its factorization.

5467420728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 5467420728000 in words is "five trillion, four hundred sixty-seven billion, four hundred twenty million, seven hundred twenty-eight thousand".