5464000800 has 360 divisors, whose sum is σ = 20065809456. Its totient is φ = 1452867840.

The previous prime is 5464000799. The next prime is 5464000807. The reversal of 5464000800 is 80004645.

5464000800 is a `hidden beast` number, since 546 + 40 + 0 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5464000807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15746227 + ... + 15746573.

Almost surely, 2^5464000800 is an apocalyptic number.

5464000800 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 5464000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10032904728).

5464000800 is an abundant number, since it is smaller than the sum of its proper divisors (14601808656).

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

5464000800 is an frugal number, since it uses more digits than its factorization.

5464000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5464000800 is about 73918.8798616429. The cubic root of 5464000800 is about 1761.3145310274.

The spelling of 5464000800 in words is "five billion, four hundred sixty-four million, eight hundred", and thus it is an aban number.