464401197567 has 48 divisors (see below), whose sum is σ = 708179472000. Its totient is φ = 292446407232.

The previous prime is 464401197553. The next prime is 464401197577. The reversal of 464401197567 is 765791104464.

It is a happy number.

464401197567 is a `hidden beast` number, since 4 + 6 + 440 + 1 + 197 + 5 + 6 + 7 = 666.

It is not a de Polignac number, because 464401197567 - 2⁶ = 464401197503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464401197577) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124202784 + ... + 124206522.

It is an arithmetic number, because the mean of its divisors is an integer number (14753739000).

Almost surely, 2^464401197567 is an apocalyptic number.

464401197567 is a deficient number, since it is larger than the sum of its proper divisors (243778274433).

464401197567 is a wasteful number, since it uses less digits than its factorization.

464401197567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5697 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 464401197567 in words is "four hundred sixty-four billion, four hundred one million, one hundred ninety-seven thousand, five hundred sixty-seven".