4276805003640 has 1024 divisors, whose sum is σ = 16766014003200. Its totient is φ = 960093388800.

The previous prime is 4276805003621. The next prime is 4276805003687. The reversal of 4276805003640 is 463005086724.

4276805003640 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 80 + 500 + 3 + 64 + 0 = 666.

It is a super-2 number, since 2×4276805003640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1344482850 + ... + 1344486030.

It is an arithmetic number, because the mean of its divisors is an integer number (16373060550).

Almost surely, 2^{4276805003640} is an apocalyptic number.

4276805003640 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 4276805003640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8383007001600).

4276805003640 is an abundant number, since it is smaller than the sum of its proper divisors (12489208999560).

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

4276805003640 is a wasteful number, since it uses less digits than its factorization.

4276805003640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 4276805003640 in words is "four trillion, two hundred seventy-six billion, eight hundred five million, three thousand, six hundred forty".