420317057664 has 384 divisors, whose sum is σ = 1451495332800. Its totient is φ = 119388100608.

The previous prime is 420317057579. The next prime is 420317057669. The reversal of 420317057664 is 466750713024.

420317057664 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 1 + 70 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×420317057664² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420317057669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29289339 + ... + 29303685.

Almost surely, 2^420317057664 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 420317057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725747666400).

420317057664 is an abundant number, since it is smaller than the sum of its proper divisors (1031178275136).

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

420317057664 is a wasteful number, since it uses less digits than its factorization.

420317057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14557 (or 14532 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 420317057664 in words is "four hundred twenty billion, three hundred seventeen million, fifty-seven thousand, six hundred sixty-four".