6804153664 has 224 divisors, whose sum is σ = 17717999616. Its totient is φ = 2513786880.

The previous prime is 6804153659. The next prime is 6804153691. The reversal of 6804153664 is 4663514086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 6804153664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19608339 + ... + 19608685.

Almost surely, 2^6804153664 is an apocalyptic number.

6804153664 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 6804153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858999808).

6804153664 is an abundant number, since it is smaller than the sum of its proper divisors (10913845952).

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

6804153664 is a wasteful number, since it uses less digits than its factorization.

6804153664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 6804153664 is about 82487.2939548874. The cubic root of 6804153664 is about 1894.9221442848.

The spelling of 6804153664 in words is "six billion, eight hundred four million, one hundred fifty-three thousand, six hundred sixty-four".