466779977664 has 896 divisors, whose sum is σ = 1745654851584. Its totient is φ = 106168320000.

The previous prime is 466779977633. The next prime is 466779977669.

466779977664 is nontrivially palindromic in base 10.

466779977664 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 466779977664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466779977669) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 291554464 + ... + 291556064.

It is an arithmetic number, because the mean of its divisors is an integer number (1948275504).

Almost surely, 2^466779977664 is an apocalyptic number.

466779977664 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 466779977664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872827425792).

466779977664 is an abundant number, since it is smaller than the sum of its proper divisors (1278874873920).

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

466779977664 is a wasteful number, since it uses less digits than its factorization.

466779977664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1725 (or 1715 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 78.

The spelling of 466779977664 in words is "four hundred sixty-six billion, seven hundred seventy-nine million, nine hundred seventy-seven thousand, six hundred sixty-four".