466195972704 has 768 divisors, whose sum is σ = 1656056586240. Its totient is φ = 111139061760.

The previous prime is 466195972667. The next prime is 466195972709. The reversal of 466195972704 is 407279591664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466195972709) 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, 1683017814 + ... + 1683018090.

It is an arithmetic number, because the mean of its divisors is an integer number (2156323680).

Almost surely, 2^466195972704 is an apocalyptic number.

466195972704 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 466195972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828028293120).

466195972704 is an abundant number, since it is smaller than the sum of its proper divisors (1189860613536).

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

466195972704 is a wasteful number, since it uses less digits than its factorization.

466195972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 466195972704 in words is "four hundred sixty-six billion, one hundred ninety-five million, nine hundred seventy-two thousand, seven hundred four".