5464902816 has 288 divisors, whose sum is σ = 17347599360. Its totient is φ = 1686894336.

The previous prime is 5464902811. The next prime is 5464902847. The reversal of 5464902816 is 6182094645.

5464902816 is a `hidden beast` number, since 546 + 4 + 90 + 2 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5464902811) 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, 6943575 + ... + 6944361.

It is an arithmetic number, because the mean of its divisors is an integer number (60234720).

Almost surely, 2^5464902816 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 5464902816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8673799680).

5464902816 is an abundant number, since it is smaller than the sum of its proper divisors (11882696544).

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

5464902816 is a wasteful number, since it uses less digits than its factorization.

5464902816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 5464902816 is about 73924.9810010121. The cubic root of 5464902816 is about 1761.4114469766.

The spelling of 5464902816 in words is "five billion, four hundred sixty-four million, nine hundred two thousand, eight hundred sixteen".