2856662738064 has 320 divisors, whose sum is σ = 8755439616000. Its totient is φ = 888660191232.

The previous prime is 2856662738051. The next prime is 2856662738119. The reversal of 2856662738064 is 4608372666582.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2856662737992 and 2856662738010.

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, 448663809 + ... + 448670175.

It is an arithmetic number, because the mean of its divisors is an integer number (27360748800).

Almost surely, 2^{2856662738064} is an apocalyptic number.

2856662738064 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 2856662738064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377719808000).

2856662738064 is an abundant number, since it is smaller than the sum of its proper divisors (5898776877936).

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

2856662738064 is a wasteful number, since it uses less digits than its factorization.

2856662738064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6907 (or 6895 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 2856662738064 in words is "two trillion, eight hundred fifty-six billion, six hundred sixty-two million, seven hundred thirty-eight thousand, sixty-four".