6917893920 has 576 divisors, whose sum is σ = 29125474560. Its totient is φ = 1459814400.

The previous prime is 6917893909. The next prime is 6917893949. The reversal of 6917893920 is 293987196.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7851880 + ... + 7852760.

It is an arithmetic number, because the mean of its divisors is an integer number (50565060).

Almost surely, 2^6917893920 is an apocalyptic number.

6917893920 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 6917893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14562737280).

6917893920 is an abundant number, since it is smaller than the sum of its proper divisors (22207580640).

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

6917893920 is a wasteful number, since it uses less digits than its factorization.

6917893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 6917893920 is about 83173.8776299386. The cubic root of 6917893920 is about 1905.4225445812.

The spelling of 6917893920 in words is "six billion, nine hundred seventeen million, eight hundred ninety-three thousand, nine hundred twenty".