467457509376 has 768 divisors, whose sum is σ = 1680163430400. Its totient is φ = 126473011200.

The previous prime is 467457509359. The next prime is 467457509383. The reversal of 467457509376 is 673905754764.

It is a happy number.

467457509376 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 57 + 509 + 3 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245126215 + ... + 245128121.

It is an arithmetic number, because the mean of its divisors is an integer number (2187712800).

Almost surely, 2^467457509376 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 467457509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840081715200).

467457509376 is an abundant number, since it is smaller than the sum of its proper divisors (1212705921024).

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

467457509376 is a wasteful number, since it uses less digits than its factorization.

467457509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1993 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 133358400, while the sum is 63.

The spelling of 467457509376 in words is "four hundred sixty-seven billion, four hundred fifty-seven million, five hundred nine thousand, three hundred seventy-six".