420930929664 has 1584 divisors, whose sum is σ = 1630892390400. Its totient is φ = 107602919424.

The previous prime is 420930929659. The next prime is 420930929693. The reversal of 420930929664 is 466929039024.

420930929664 is a `hidden beast` number, since 42 + 0 + 9 + 309 + 296 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 420930929664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5328239577 + ... + 5328239655.

Almost surely, 2^420930929664 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 420930929664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815446195200).

420930929664 is an abundant number, since it is smaller than the sum of its proper divisors (1209961460736).

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

420930929664 is a wasteful number, since it uses less digits than its factorization.

420930929664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 420930929664 in words is "four hundred twenty billion, nine hundred thirty million, nine hundred twenty-nine thousand, six hundred sixty-four".