420346512768 has 768 divisors, whose sum is σ = 1502359142400. Its totient is φ = 101573222400.

The previous prime is 420346512743. The next prime is 420346512827. The reversal of 420346512768 is 867215643024.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 267565423 + ... + 267566993.

It is an arithmetic number, because the mean of its divisors is an integer number (1956196800).

Almost surely, 2^420346512768 is an apocalyptic number.

420346512768 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 420346512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751179571200).

420346512768 is an abundant number, since it is smaller than the sum of its proper divisors (1082012629632).

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

420346512768 is a wasteful number, since it uses less digits than its factorization.

420346512768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 420346512768 in words is "four hundred twenty billion, three hundred forty-six million, five hundred twelve thousand, seven hundred sixty-eight".