5465014800 has 360 divisors, whose sum is σ = 20703907008. Its totient is φ = 1207065600.

The previous prime is 5465014777. The next prime is 5465014853. The reversal of 5465014800 is 84105645.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8072062 + ... + 8072738.

Almost surely, 2^5465014800 is an apocalyptic number.

5465014800 is a gapful number since it is divisible by the number (50) 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 5465014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351953504).

5465014800 is an abundant number, since it is smaller than the sum of its proper divisors (15238892208).

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

5465014800 is a wasteful number, since it uses less digits than its factorization.

5465014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 5465014800 is about 73925.7384136270. The cubic root of 5465014800 is about 1761.4234782093.

The spelling of 5465014800 in words is "five billion, four hundred sixty-five million, fourteen thousand, eight hundred".