466976607552 has 504 divisors, whose sum is σ = 1684083913512. Its totient is φ = 122624409600.

The previous prime is 466976607551. The next prime is 466976607563. The reversal of 466976607552 is 255706679664.

466976607552 is a `hidden beast` number, since 4 + 6 + 6 + 9 + 76 + 6 + 0 + 7 + 552 = 666.

466976607552 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6999664896 + 459976942656 = 83664^2 + 678216^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 466976607552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466976607551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88423152 + ... + 88428432.

Almost surely, 2^466976607552 is an apocalyptic number.

466976607552 is a gapful number since it is divisible by the number (42) 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 466976607552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842041956756).

466976607552 is an abundant number, since it is smaller than the sum of its proper divisors (1217107305960).

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

466976607552 is a wasteful number, since it uses less digits than its factorization.

466976607552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 466976607552 in words is "four hundred sixty-six billion, nine hundred seventy-six million, six hundred seven thousand, five hundred fifty-two".