6920496000 has 768 divisors, whose sum is σ = 28819177920. Its totient is φ = 1572864000.

The previous prime is 6920495977. The next prime is 6920496007. The reversal of 6920496000 is 6940296.

6920496000 is a `hidden beast` number, since 6 + 9 + 2 + 0 + 49 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6920496007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26927872 + ... + 26928128.

Almost surely, 2^6920496000 is an apocalyptic number.

6920496000 is a gapful number since it is divisible by the number (60) 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 6920496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14409588960).

6920496000 is an abundant number, since it is smaller than the sum of its proper divisors (21898681920).

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

6920496000 is a wasteful number, since it uses less digits than its factorization.

6920496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6920496000 is about 83189.5185705507. The cubic root of 6920496000 is about 1905.6614149871.

The spelling of 6920496000 in words is "six billion, nine hundred twenty million, four hundred ninety-six thousand".