467730661320 has 384 divisors, whose sum is σ = 1677490214400. Its totient is φ = 112297715712.

The previous prime is 467730661291. The next prime is 467730661327. The reversal of 467730661320 is 23166037764.

467730661320 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 3 + 0 + 6 + 613 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (467730661327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 209087242 + ... + 209089478.

It is an arithmetic number, because the mean of its divisors is an integer number (4368464100).

Almost surely, 2^467730661320 is an apocalyptic number.

467730661320 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 467730661320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838745107200).

467730661320 is an abundant number, since it is smaller than the sum of its proper divisors (1209759553080).

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

467730661320 is a wasteful number, since it uses less digits than its factorization.

467730661320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3349 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 467730661320 in words is "four hundred sixty-seven billion, seven hundred thirty million, six hundred sixty-one thousand, three hundred twenty".