420176397168 has 720 divisors, whose sum is σ = 1415384076288. Its totient is φ = 120400473600.

The previous prime is 420176397163. The next prime is 420176397181. The reversal of 420176397168 is 861793671024.

420176397168 is a `hidden beast` number, since 4 + 20 + 1 + 76 + 397 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420176397163) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 685442430 + ... + 685443042.

Almost surely, 2^420176397168 is an apocalyptic number.

420176397168 is a gapful number since it is divisible by the number (48) 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 420176397168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707692038144).

420176397168 is an abundant number, since it is smaller than the sum of its proper divisors (995207679120).

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

420176397168 is a wasteful number, since it uses less digits than its factorization.

420176397168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 420176397168 in words is "four hundred twenty billion, one hundred seventy-six million, three hundred ninety-seven thousand, one hundred sixty-eight".