467716309632 has 1152 divisors, whose sum is σ = 1745390462400. Its totient is φ = 118619504640.

The previous prime is 467716309609. The next prime is 467716309633. The reversal of 467716309632 is 236903617764.

It is a happy number.

467716309632 is a `hidden beast` number, since 467 + 7 + 1 + 63 + 0 + 96 + 32 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (467716309633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1055792803 + ... + 1055793245.

Almost surely, 2^467716309632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467716309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872695231200).

467716309632 is an abundant number, since it is smaller than the sum of its proper divisors (1277674152768).

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

467716309632 is a wasteful number, since it uses less digits than its factorization.

467716309632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 467716309632 in words is "four hundred sixty-seven billion, seven hundred sixteen million, three hundred nine thousand, six hundred thirty-two".