466776677664 has 288 divisors, whose sum is σ = 1464828805440. Its totient is φ = 139815168000.

The previous prime is 466776677651. The next prime is 466776677677.

466776677664 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (466776677651) and next prime (466776677677).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×466776677664² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 466776677592 and 466776677601.

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 47 ways as a sum of consecutive naturals, for example, 379801402 + ... + 379802630.

It is an arithmetic number, because the mean of its divisors is an integer number (5086211130).

Almost surely, 2^466776677664 is an apocalyptic number.

466776677664 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 466776677664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732414402720).

466776677664 is an abundant number, since it is smaller than the sum of its proper divisors (998052127776).

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

466776677664 is a wasteful number, since it uses less digits than its factorization.

466776677664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2533 counting only the distinct ones).

The product of its digits is 1792336896, while the sum is 72.

The spelling of 466776677664 in words is "four hundred sixty-six billion, seven hundred seventy-six million, six hundred seventy-seven thousand, six hundred sixty-four".