464794727497464 has 256 divisors, whose sum is σ = 1436177957760000. Its totient is φ = 122066433699840.

The previous prime is 464794727497447. The next prime is 464794727497469.

464794727497464 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×464794727497464³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464794727497469) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 562865044 + ... + 563690204.

It is an arithmetic number, because the mean of its divisors is an integer number (5610070147500).

Almost surely, 2^{464794727497464} 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 464794727497464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718088978880000).

464794727497464 is an abundant number, since it is smaller than the sum of its proper divisors (971383230262536).

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

464794727497464 is a wasteful number, since it uses less digits than its factorization.

464794727497464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826278 (or 826274 counting only the distinct ones).

The product of its digits is 57354780672, while the sum is 84.

The spelling of 464794727497464 in words is "four hundred sixty-four trillion, seven hundred ninety-four billion, seven hundred twenty-seven million, four hundred ninety-seven thousand, four hundred sixty-four".