4640889006810 has 448 divisors, whose sum is σ = 14438726565120. Its totient is φ = 1051570252800.

The previous prime is 4640889006797. The next prime is 4640889006821. The reversal of 4640889006810 is 186009880464.

4640889006810 is a `hidden beast` number, since 464 + 0 + 88 + 90 + 0 + 6 + 8 + 10 = 666.

It is a super-2 number, since 2×4640889006810² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3198406585 + ... + 3198408035.

Almost surely, 2^{4640889006810} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4640889006810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219363282560).

4640889006810 is an abundant number, since it is smaller than the sum of its proper divisors (9797837558310).

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

4640889006810 is a wasteful number, since it uses less digits than its factorization.

4640889006810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 4640889006810 in words is "four trillion, six hundred forty billion, eight hundred eighty-nine million, six thousand, eight hundred ten".