6920294400 has 312 divisors, whose sum is σ = 25432727360. Its totient is φ = 1844674560.

The previous prime is 6920294387. The next prime is 6920294401. The reversal of 6920294400 is 44920296.

6920294400 is a `hidden beast` number, since 6 + 9 + 202 + 9 + 440 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6920294401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2763549 + ... + 2766051.

Almost surely, 2^6920294400 is an apocalyptic number.

6920294400 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 6920294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716363680).

6920294400 is an abundant number, since it is smaller than the sum of its proper divisors (18512432960).

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

6920294400 is a wasteful number, since it uses less digits than its factorization.

6920294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6920294400 is about 83188.3068706173. The cubic root of 6920294400 is about 1905.6429102888.

The spelling of 6920294400 in words is "six billion, nine hundred twenty million, two hundred ninety-four thousand, four hundred".