5464817280 has 896 divisors, whose sum is σ = 22756522320. Its totient is φ = 1242169344.

The previous prime is 5464817257. The next prime is 5464817317. The reversal of 5464817280 is 827184645.

5464817280 is a `hidden beast` number, since 546 + 4 + 81 + 7 + 28 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2709827136 + 2754990144 = 52056^2 + 52488^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 103109734 + ... + 103109786.

Almost surely, 2^5464817280 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 5464817280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378261160).

5464817280 is an abundant number, since it is smaller than the sum of its proper divisors (17291705040).

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

5464817280 is a wasteful number, since it uses less digits than its factorization.

5464817280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 5464817280 is about 73924.4024663034. The cubic root of 5464817280 is about 1761.4022571288.

The spelling of 5464817280 in words is "five billion, four hundred sixty-four million, eight hundred seventeen thousand, two hundred eighty".