5466212640 has 960 divisors, whose sum is σ = 24394245120. Its totient is φ = 1137991680.

The previous prime is 5466212629. The next prime is 5466212651. The reversal of 5466212640 is 462126645.

5466212640 is a `hidden beast` number, since 5 + 4 + 6 + 6 + 2 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5466212629) and next prime (5466212651).

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

It is a junction number, because it is equal to n+sod(n) for n = 5466212595 and 5466212604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 176329425 + ... + 176329455.

It is an arithmetic number, because the mean of its divisors is an integer number (25410672).

Almost surely, 2^5466212640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5466212640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12197122560).

5466212640 is an abundant number, since it is smaller than the sum of its proper divisors (18928032480).

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

5466212640 is a wasteful number, since it uses less digits than its factorization.

5466212640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5466212640 is about 73933.8396135356. The cubic root of 5466212640 is about 1761.5521603473.

The spelling of 5466212640 in words is "five billion, four hundred sixty-six million, two hundred twelve thousand, six hundred forty".