464127600064 has 112 divisors (see below), whose sum is σ = 940822502400. Its totient is φ = 227141591040.

The previous prime is 464127600059. The next prime is 464127600107. The reversal of 464127600064 is 460006721464.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 190137084 + ... + 190139524.

Almost surely, 2^464127600064 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 464127600064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470411251200).

464127600064 is an abundant number, since it is smaller than the sum of its proper divisors (476694902336).

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

464127600064 is a wasteful number, since it uses less digits than its factorization.

464127600064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2886 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 464127600064 in words is "four hundred sixty-four billion, one hundred twenty-seven million, six hundred thousand, sixty-four".