6893764416 has 448 divisors, whose sum is σ = 25492008960. Its totient is φ = 1774725120.

The previous prime is 6893764399. The next prime is 6893764441. The reversal of 6893764416 is 6144673986.

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 congruent number.

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, 26211901 + ... + 26212163.

Almost surely, 2^6893764416 is an apocalyptic number.

6893764416 is a gapful number since it is divisible by the number (66) 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 6893764416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746004480).

6893764416 is an abundant number, since it is smaller than the sum of its proper divisors (18598244544).

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

6893764416 is a wasteful number, since it uses less digits than its factorization.

6893764416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 483 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6893764416 is about 83028.6963404822. The cubic root of 6893764416 is about 1903.2046026836.

The spelling of 6893764416 in words is "six billion, eight hundred ninety-three million, seven hundred sixty-four thousand, four hundred sixteen".