6892609400064 has 288 divisors, whose sum is σ = 21276607564800. Its totient is φ = 2196843264000.

The previous prime is 6892609400063. The next prime is 6892609400077. The reversal of 6892609400064 is 4600049062986.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6892609400064² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6892609400063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562609939 + ... + 562622189.

It is an arithmetic number, because the mean of its divisors is an integer number (73877109600).

Almost surely, 2^{6892609400064} is an apocalyptic number.

6892609400064 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 6892609400064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638303782400).

6892609400064 is an abundant number, since it is smaller than the sum of its proper divisors (14383998164736).

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

6892609400064 is a wasteful number, since it uses less digits than its factorization.

6892609400064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15838 (or 15818 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 6892609400064 in words is "six trillion, eight hundred ninety-two billion, six hundred nine million, four hundred thousand, sixty-four".