5426460000 has 480 divisors, whose sum is σ = 21326548320. Its totient is φ = 1334016000.

The previous prime is 5426459947. The next prime is 5426460031. The reversal of 5426460000 is 646245.

It is a happy number.

5426460000 is a `hidden beast` number, since 54 + 2 + 6 + 4 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7019614 + ... + 7020386.

It is an arithmetic number, because the mean of its divisors is an integer number (44430309).

Almost surely, 2^5426460000 is an apocalyptic number.

5426460000 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 5426460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663274160).

5426460000 is an abundant number, since it is smaller than the sum of its proper divisors (15900088320).

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

5426460000 is a wasteful number, since it uses less digits than its factorization.

5426460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5426460000 is about 73664.5097723456. The cubic root of 5426460000 is about 1757.2715126330.

It can be divided in two parts, 54 and 26460000, that multiplied together give a square (1428840000 = 37800²).

The spelling of 5426460000 in words is "five billion, four hundred twenty-six million, four hundred sixty thousand".