6862774464 has 448 divisors, whose sum is σ = 26149401600. Its totient is φ = 1713954816.

The previous prime is 6862774427. The next prime is 6862774487. The reversal of 6862774464 is 4644772686.

6862774464 is a `hidden beast` number, since 6 + 8 + 627 + 7 + 4 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6862774464.

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, 2986564 + ... + 2988860.

It is an arithmetic number, because the mean of its divisors is an integer number (58369200).

Almost surely, 2^6862774464 is an apocalyptic number.

6862774464 is a gapful number since it is divisible by the number (64) 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 6862774464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074700800).

6862774464 is an abundant number, since it is smaller than the sum of its proper divisors (19286627136).

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

6862774464 is a wasteful number, since it uses less digits than its factorization.

6862774464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2341 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 6862774464 is about 82841.8641992079. The cubic root of 6862774464 is about 1900.3484553885.

The spelling of 6862774464 in words is "six billion, eight hundred sixty-two million, seven hundred seventy-four thousand, four hundred sixty-four".