420687146880 has 2560 divisors, whose sum is σ = 2064166917120. Its totient is φ = 79486894080.

The previous prime is 420687146857. The next prime is 420687146911. The reversal of 420687146880 is 88641786024.

420687146880 is a `hidden beast` number, since 4 + 20 + 6 + 87 + 1 + 468 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6278912607 + ... + 6278912673.

It is an arithmetic number, because the mean of its divisors is an integer number (806315202).

Almost surely, 2^420687146880 is an apocalyptic number.

420687146880 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 420687146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032083458560).

420687146880 is an abundant number, since it is smaller than the sum of its proper divisors (1643479770240).

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

420687146880 is a wasteful number, since it uses less digits than its factorization.

420687146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 420687146880 in words is "four hundred twenty billion, six hundred eighty-seven million, one hundred forty-six thousand, eight hundred eighty".