5464742400 has 720 divisors, whose sum is σ = 21817275480. Its totient is φ = 1297612800.

The previous prime is 5464742389. The next prime is 5464742443. The reversal of 5464742400 is 42474645.

5464742400 is a `hidden beast` number, since 5 + 4 + 647 + 4 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 799305984 + 4665436416 = 28272^2 + 68304^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 61401556 + ... + 61401644.

Almost surely, 2^5464742400 is an apocalyptic number.

5464742400 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 5464742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10908637740).

5464742400 is an abundant number, since it is smaller than the sum of its proper divisors (16352533080).

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

5464742400 is a wasteful number, since it uses less digits than its factorization.

5464742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 5464742400 is about 73923.8960012255. The cubic root of 5464742400 is about 1761.3942120655.

The spelling of 5464742400 in words is "five billion, four hundred sixty-four million, seven hundred forty-two thousand, four hundred".