6954401280 has 160 divisors (see below), whose sum is σ = 23402966400. Its totient is φ = 1756864512.

The previous prime is 6954401273. The next prime is 6954401281. The reversal of 6954401280 is 821044596.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6954401281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122091 + ... + 169749.

It is an arithmetic number, because the mean of its divisors is an integer number (146268540).

Almost surely, 2^6954401280 is an apocalyptic number.

6954401280 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 6954401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11701483200).

6954401280 is an abundant number, since it is smaller than the sum of its proper divisors (16448565120).

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

6954401280 is a wasteful number, since it uses less digits than its factorization.

6954401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47704 (or 47688 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 6954401280 is about 83393.0529480724. The cubic root of 6954401280 is about 1908.7684540030.

The spelling of 6954401280 in words is "six billion, nine hundred fifty-four million, four hundred one thousand, two hundred eighty".