467676664 has 256 divisors, whose sum is σ = 1254113280. Its totient is φ = 158146560.

The previous prime is 467676661. The next prime is 467676667. The reversal of 467676664 is 466676764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467676661) and next prime (467676667).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467676661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8824062 + ... + 8824114.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^467676664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467676664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627056640).

467676664 is an abundant number, since it is smaller than the sum of its proper divisors (786436616).

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

467676664 is a wasteful number, since it uses less digits than its factorization.

467676664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 146 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 52.

The square root of 467676664 is about 21625.8332556228. The cubic root of 467676664 is about 776.2147659004.

The spelling of 467676664 in words is "four hundred sixty-seven million, six hundred seventy-six thousand, six hundred sixty-four".