420948836671752 has 192 divisors, whose sum is σ = 1172457465379200. Its totient is φ = 136357074846720.

The previous prime is 420948836671721. The next prime is 420948836671789. The reversal of 420948836671752 is 257176638849024.

420948836671752 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 488 + 3 + 6 + 6 + 71 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7630972123 + ... + 7631027285.

It is an arithmetic number, because the mean of its divisors is an integer number (6106549298850).

It is a 1-persistent number, because it is pandigital, but 2⋅420948836671752 = 841897673343504 is not.

Almost surely, 2^{420948836671752} 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 420948836671752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586228732689600).

420948836671752 is an abundant number, since it is smaller than the sum of its proper divisors (751508628707448).

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

420948836671752 is a wasteful number, since it uses less digits than its factorization.

420948836671752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65308 (or 65301 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 420948836671752 in words is "four hundred twenty trillion, nine hundred forty-eight billion, eight hundred thirty-six million, six hundred seventy-one thousand, seven hundred fifty-two".