6954027428400 has 480 divisors, whose sum is σ = 25262814743040. Its totient is φ = 1620987863040.

The previous prime is 6954027428393. The next prime is 6954027428431. The reversal of 6954027428400 is 48247204596.

It is a Cunningham number, because it is equal to 2637049²-1.

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 95 ways as a sum of consecutive naturals, for example, 1202491909 + ... + 1202497691.

It is an arithmetic number, because the mean of its divisors is an integer number (52630864048).

Almost surely, 2^{6954027428400} is an apocalyptic number.

6954027428400 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 6954027428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12631407371520).

6954027428400 is an abundant number, since it is smaller than the sum of its proper divisors (18308787314640).

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

6954027428400 is a wasteful number, since it uses less digits than its factorization.

6954027428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9882 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 6954027428400 in words is "six trillion, nine hundred fifty-four billion, twenty-seven million, four hundred twenty-eight thousand, four hundred".