5467678720 has 288 divisors, whose sum is σ = 16184062440. Its totient is φ = 1761607680.

The previous prime is 5467678693. The next prime is 5467678721. The reversal of 5467678720 is 278767645.

It can be written as a sum of positive squares in 4 ways, for example, as 5431100416 + 36578304 = 73696^2 + 6048^2 .

It is not an unprimeable number, because it can be changed into a prime (5467678721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8529600 + ... + 8530240.

Almost surely, 2^5467678720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5467678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092031220).

5467678720 is an abundant number, since it is smaller than the sum of its proper divisors (10716383720).

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

5467678720 is a wasteful number, since it uses less digits than its factorization.

5467678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 52.

The square root of 5467678720 is about 73943.7537591919. The cubic root of 5467678720 is about 1761.7096335197.

The spelling of 5467678720 in words is "five billion, four hundred sixty-seven million, six hundred seventy-eight thousand, seven hundred twenty".