6894311424 has 768 divisors, whose sum is σ = 26417664000. Its totient is φ = 1539440640.

The previous prime is 6894311423. The next prime is 6894311429. The reversal of 6894311424 is 4241134986.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×6894311424² = 95063060022193815552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6894311423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116852707 + ... + 116852765.

It is an arithmetic number, because the mean of its divisors is an integer number (34398000).

Almost surely, 2^6894311424 is an apocalyptic number.

6894311424 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 6894311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13208832000).

6894311424 is an abundant number, since it is smaller than the sum of its proper divisors (19523352576).

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

6894311424 is a wasteful number, since it uses less digits than its factorization.

6894311424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 114 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 6894311424 is about 83031.9903651599. The cubic root of 6894311424 is about 1903.2549399907.

The spelling of 6894311424 in words is "six billion, eight hundred ninety-four million, three hundred eleven thousand, four hundred twenty-four".