6951000420 has 672 divisors, whose sum is σ = 27969607680. Its totient is φ = 1419275520.

The previous prime is 6951000347. The next prime is 6951000421. The reversal of 6951000420 is 240001596.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6951000421) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 224225805 + ... + 224225835.

It is an arithmetic number, because the mean of its divisors is an integer number (41621440).

Almost surely, 2^6951000420 is an apocalyptic number.

6951000420 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 6951000420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984803840).

6951000420 is an abundant number, since it is smaller than the sum of its proper divisors (21018607260).

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

6951000420 is a wasteful number, since it uses less digits than its factorization.

6951000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6951000420 is about 83372.6599071902. The cubic root of 6951000420 is about 1908.4572595777.

The spelling of 6951000420 in words is "six billion, nine hundred fifty-one million, four hundred twenty", and thus it is an aban number.