4662002664 has 192 divisors, whose sum is σ = 14763565440. Its totient is φ = 1314593280.

The previous prime is 4662002663. The next prime is 4662002669.

4662002664 is a `hidden beast` number, since 4 + 6 + 620 + 0 + 26 + 6 + 4 = 666.

4662002664 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (4662002663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670534 + ... + 677450.

It is an arithmetic number, because the mean of its divisors is an integer number (76893570).

Almost surely, 2^4662002664 is an apocalyptic number.

4662002664 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 4662002664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381782720).

4662002664 is an abundant number, since it is smaller than the sum of its proper divisors (10101562776).

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

4662002664 is a wasteful number, since it uses less digits than its factorization.

4662002664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7000 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4662002664 is about 68278.8595686835. The cubic root of 4662002664 is about 1670.5424109685.

It can be divided in two parts, 466200 and 2664, that added together give a palindrome (468864).

The spelling of 4662002664 in words is "four billion, six hundred sixty-two million, two thousand, six hundred sixty-four".