6906375000 has 336 divisors, whose sum is σ = 26751220080. Its totient is φ = 1576800000.

The previous prime is 6906374987. The next prime is 6906375017. The reversal of 6906375000 is 5736096.

It is a happy number.

6906375000 is a `hidden beast` number, since 6 + 90 + 63 + 7 + 500 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7874562 + ... + 7875438.

Almost surely, 2^6906375000 is an apocalyptic number.

6906375000 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 6906375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13375610040).

6906375000 is an abundant number, since it is smaller than the sum of its proper divisors (19844845080).

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

6906375000 is an equidigital number, since it uses as much as digits as its factorization.

6906375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 6906375000 is about 83104.6027606173. The cubic root of 6906375000 is about 1904.3643900126.

The spelling of 6906375000 in words is "six billion, nine hundred six million, three hundred seventy-five thousand".