464564444420160 has 5376 divisors, whose sum is σ = 2104283175321600. Its totient is φ = 95216866689024.

The previous prime is 464564444420147. The next prime is 464564444420161. The reversal of 464564444420160 is 61024444465464.

464564444420160 is a `hidden beast` number, since 4 + 6 + 4 + 56 + 4 + 4 + 4 + 4 + 420 + 160 = 666.

It is a super-2 number, since 2×464564444420160² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 464564444420097 and 464564444420106.

It is not an unprimeable number, because it can be changed into a prime (464564444420161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2781823020397 + ... + 2781823020563.

It is an arithmetic number, because the mean of its divisors is an integer number (391421721600).

Almost surely, 2^{464564444420160} is an apocalyptic number.

464564444420160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464564444420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052141587660800).

464564444420160 is an abundant number, since it is smaller than the sum of its proper divisors (1639718730901440).

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

464564444420160 is a wasteful number, since it uses less digits than its factorization.

464564444420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 464564444420160 in words is "four hundred sixty-four trillion, five hundred sixty-four billion, four hundred forty-four million, four hundred twenty thousand, one hundred sixty".