467467580160 has 1152 divisors, whose sum is σ = 1983212421120. Its totient is φ = 102021120000.

The previous prime is 467467580147. The next prime is 467467580197. The reversal of 467467580160 is 61085764764.

467467580160 is a `hidden beast` number, since 4 + 6 + 7 + 46 + 7 + 580 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 467467580097 and 467467580106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622459785 + ... + 622460535.

It is an arithmetic number, because the mean of its divisors is an integer number (1721538560).

Almost surely, 2^467467580160 is an apocalyptic number.

467467580160 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 467467580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (991606210560).

467467580160 is an abundant number, since it is smaller than the sum of its proper divisors (1515744840960).

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

467467580160 is a wasteful number, since it uses less digits than its factorization.

467467580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 467467580160 in words is "four hundred sixty-seven billion, four hundred sixty-seven million, five hundred eighty thousand, one hundred sixty".