6267146340 has 192 divisors, whose sum is σ = 21638098944. Its totient is φ = 1319818752.

The previous prime is 6267146293. The next prime is 6267146383. The reversal of 6267146340 is 436417626.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5279227 + ... + 5280413.

It is an arithmetic number, because the mean of its divisors is an integer number (112698432).

Almost surely, 2^6267146340 is an apocalyptic number.

6267146340 is a gapful number since it is divisible by the number (60) 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 6267146340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10819049472).

6267146340 is an abundant number, since it is smaller than the sum of its proper divisors (15370952604).

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

6267146340 is a wasteful number, since it uses less digits than its factorization.

6267146340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 6267146340 is about 79165.3102059229. The cubic root of 6267146340 is about 1843.6986821070.

The spelling of 6267146340 in words is "six billion, two hundred sixty-seven million, one hundred forty-six thousand, three hundred forty".