4610166840 has 448 divisors, whose sum is σ = 16785856800. Its totient is φ = 1135420416.

The previous prime is 4610166823. The next prime is 4610166853. The reversal of 4610166840 is 486610164.

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 = 4610166795 and 4610166804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29364042 + ... + 29364198.

Almost surely, 2^4610166840 is an apocalyptic number.

4610166840 is a gapful number since it is divisible by the number (40) 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 4610166840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8392928400).

4610166840 is an abundant number, since it is smaller than the sum of its proper divisors (12175689960).

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

4610166840 is a wasteful number, since it uses less digits than its factorization.

4610166840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4610166840 is about 67898.2094020159. The cubic root of 4610166840 is about 1664.3278514122.

It can be divided in two parts, 461016 and 6840, that added together give a square (467856 = 684²).

The spelling of 4610166840 in words is "four billion, six hundred ten million, one hundred sixty-six thousand, eight hundred forty".