5467984704 has 560 divisors, whose sum is σ = 20364102528. Its totient is φ = 1412370432.

The previous prime is 5467984681. The next prime is 5467984723. The reversal of 5467984704 is 4074897645.

5467984704 is a `hidden beast` number, since 546 + 7 + 98 + 4 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31606762 + ... + 31606934.

Almost surely, 2^5467984704 is an apocalyptic number.

5467984704 is a gapful number since it is divisible by the number (54) 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 5467984704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10182051264).

5467984704 is an abundant number, since it is smaller than the sum of its proper divisors (14896117824).

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

5467984704 is a wasteful number, since it uses less digits than its factorization.

5467984704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

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

The square root of 5467984704 is about 73945.8227623441. The cubic root of 5467984704 is about 1761.7424960276.

The spelling of 5467984704 in words is "five billion, four hundred sixty-seven million, nine hundred eighty-four thousand, seven hundred four".