5464978560 has 384 divisors, whose sum is σ = 19658162160. Its totient is φ = 1397882880.

The previous prime is 5464978537. The next prime is 5464978567. The reversal of 5464978560 is 658794645.

5464978560 is a `hidden beast` number, since 5 + 4 + 6 + 4 + 9 + 78 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 201185856 + 5263792704 = 14184^2 + 72552^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5464978560² = 59731981322519347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5464978497 and 5464978506.

It is not an unprimeable number, because it can be changed into a prime (5464978567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17239522 + ... + 17239838.

Almost surely, 2^5464978560 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 5464978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9829081080).

5464978560 is an abundant number, since it is smaller than the sum of its proper divisors (14193183600).

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

5464978560 is a wasteful number, since it uses less digits than its factorization.

5464978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 5464978560 is about 73925.4933023784. The cubic root of 5464978560 is about 1761.4195847079.

The spelling of 5464978560 in words is "five billion, four hundred sixty-four million, nine hundred seventy-eight thousand, five hundred sixty".