6954460240 has 240 divisors, whose sum is σ = 20376195840. Its totient is φ = 2187924480.

The previous prime is 6954460231. The next prime is 6954460259. The reversal of 6954460240 is 420644596.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 6954460193 and 6954460202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12179155 + ... + 12179725.

It is an arithmetic number, because the mean of its divisors is an integer number (84900816).

Almost surely, 2^6954460240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6954460240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10188097920).

6954460240 is an abundant number, since it is smaller than the sum of its proper divisors (13421735600).

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

6954460240 is a wasteful number, since it uses less digits than its factorization.

6954460240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 6954460240 is about 83393.4064539877. The cubic root of 6954460240 is about 1908.7738482210.

The spelling of 6954460240 in words is "six billion, nine hundred fifty-four million, four hundred sixty thousand, two hundred forty".