5466240000 has 660 divisors, whose sum is σ = 21531385876. Its totient is φ = 1327104000.

The previous prime is 5466239981. The next prime is 5466240011. The reversal of 5466240000 is 426645.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4857532416 + 608707584 = 69696^2 + 24672^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 74879964 + ... + 74880036.

Almost surely, 2^5466240000 is an apocalyptic number.

5466240000 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 5466240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10765692938).

5466240000 is an abundant number, since it is smaller than the sum of its proper divisors (16065145876).

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

5466240000 is a wasteful number, since it uses less digits than its factorization.

5466240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 96 counting only the distinct ones).

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

The square root of 5466240000 is about 73934.0246435969. The cubic root of 5466240000 is about 1761.5550993711. Note that the first 3 decimals are identical.

Adding to 5466240000 its reverse (426645), we get a palindrome (5466666645).

The spelling of 5466240000 in words is "five billion, four hundred sixty-six million, two hundred forty thousand".