464179975104 has 168 divisors, whose sum is σ = 1324226033280. Its totient is φ = 143223928320.

The previous prime is 464179975033. The next prime is 464179975153. The reversal of 464179975104 is 401579971464.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4189087 + ... + 4298465.

Almost surely, 2^464179975104 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 464179975104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662113016640).

464179975104 is an abundant number, since it is smaller than the sum of its proper divisors (860046058176).

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

464179975104 is a wasteful number, since it uses less digits than its factorization.

464179975104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109479 (or 109438 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 464179975104 in words is "four hundred sixty-four billion, one hundred seventy-nine million, nine hundred seventy-five thousand, one hundred four".