6954012000 has 720 divisors, whose sum is σ = 27855539712. Its totient is φ = 1698278400.

The previous prime is 6954011983. The next prime is 6954012011. The reversal of 6954012000 is 2104596.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×6954012000² = 96716565792288000000, which contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 54755937 + ... + 54756063.

Almost surely, 2^6954012000 is an apocalyptic number.

6954012000 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 6954012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927769856).

6954012000 is an abundant number, since it is smaller than the sum of its proper divisors (20901527712).

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

6954012000 is a wasteful number, since it uses less digits than its factorization.

6954012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 150 counting only the distinct ones).

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

The square root of 6954012000 is about 83390.7189080416. The cubic root of 6954012000 is about 1908.7328382244.

Adding to 6954012000 its reverse (2104596), we get a palindrome (6956116596).

The spelling of 6954012000 in words is "six billion, nine hundred fifty-four million, twelve thousand".