6906900000 has 1152 divisors, whose sum is σ = 31749967872. Its totient is φ = 1267200000.

The previous prime is 6906899999. The next prime is 6906900059. The reversal of 6906900000 is 96096.

It is a super-2 number, since 2×6906900000² = 95410535220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 300299989 + ... + 300300011.

It is an arithmetic number, because the mean of its divisors is an integer number (27560736).

Almost surely, 2^6906900000 is an apocalyptic number.

6906900000 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 6906900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15874983936).

6906900000 is an abundant number, since it is smaller than the sum of its proper divisors (24843067872).

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

6906900000 is a wasteful number, since it uses less digits than its factorization.

6906900000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 6906900000 is about 83107.7613704039. The cubic root of 6906900000 is about 1904.4126433038.

Adding to 6906900000 its reverse (96096), we get a palindrome (6906996096).

It can be divided in two parts, 690 and 6900000, that multiplied together give a square (4761000000 = 69000²).

The spelling of 6906900000 in words is "six billion, nine hundred six million, nine hundred thousand".