4766164006000 has 160 divisors (see below), whose sum is σ = 12413581479936. Its totient is φ = 1764750240000.

The previous prime is 4766164005959. The next prime is 4766164006039. The reversal of 4766164006000 is 6004616674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 245166 + ... + 3097165.

Almost surely, 2^{4766164006000} is an apocalyptic number.

4766164006000 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 4766164006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6206790739968).

4766164006000 is an abundant number, since it is smaller than the sum of its proper divisors (7647417473936).

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

4766164006000 is a wasteful number, since it uses less digits than its factorization.

4766164006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342408 (or 3342392 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 4766164006000 in words is "four trillion, seven hundred sixty-six billion, one hundred sixty-four million, six thousand".