4666406624 has 72 divisors (see below), whose sum is σ = 10289076840. Its totient is φ = 2080981760.

The previous prime is 4666406621. The next prime is 4666406651. The reversal of 4666406624 is 4266046664.

It is a super-2 number, since 2×4666406624² = 43550701561022154752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4666406621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193847 + ... + 216585.

It is an arithmetic number, because the mean of its divisors is an integer number (142903845).

Almost surely, 2^4666406624 is an apocalyptic number.

4666406624 is a gapful number since it is divisible by the number (44) 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 4666406624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144538420).

4666406624 is an abundant number, since it is smaller than the sum of its proper divisors (5622670216).

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

4666406624 is a wasteful number, since it uses less digits than its factorization.

4666406624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22824 (or 22805 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The square root of 4666406624 is about 68311.1017624515. The cubic root of 4666406624 is about 1671.0682712839.

The spelling of 4666406624 in words is "four billion, six hundred sixty-six million, four hundred six thousand, six hundred twenty-four".