2827707346464 has 384 divisors, whose sum is σ = 10007620761600. Its totient is φ = 675153100800.

The previous prime is 2827707346427. The next prime is 2827707346469. The reversal of 2827707346464 is 4646437077282.

It is a super-2 number, since 2×2827707346464² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2827707346398 and 2827707346407.

It is not an unprimeable number, because it can be changed into a prime (2827707346469) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 23098087 + ... + 23220185.

It is an arithmetic number, because the mean of its divisors is an integer number (26061512400).

Almost surely, 2^{2827707346464} is an apocalyptic number.

2827707346464 is a gapful number since it is divisible by the number (24) 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 2827707346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003810380800).

2827707346464 is an abundant number, since it is smaller than the sum of its proper divisors (7179913415136).

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

2827707346464 is a wasteful number, since it uses less digits than its factorization.

2827707346464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122384 (or 122376 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 60.

The spelling of 2827707346464 in words is "two trillion, eight hundred twenty-seven billion, seven hundred seven million, three hundred forty-six thousand, four hundred sixty-four".