466061791680 has 672 divisors, whose sum is σ = 1781847535104. Its totient is φ = 115650146304.

The previous prime is 466061791669. The next prime is 466061791691. The reversal of 466061791680 is 86197160664.

It is a happy number.

466061791680 is a `hidden beast` number, since 4 + 6 + 6 + 0 + 617 + 9 + 16 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (466061791669) and next prime (466061791691).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66170239 + ... + 66177281.

It is an arithmetic number, because the mean of its divisors is an integer number (2651558832).

Almost surely, 2^466061791680 is an apocalyptic number.

466061791680 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 466061791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890923767552).

466061791680 is an abundant number, since it is smaller than the sum of its proper divisors (1315785743424).

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

466061791680 is a wasteful number, since it uses less digits than its factorization.

466061791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 466061791680 in words is "four hundred sixty-six billion, sixty-one million, seven hundred ninety-one thousand, six hundred eighty".