6834961440 has 240 divisors, whose sum is σ = 24374877912. Its totient is φ = 1803534336.

The previous prime is 6834961423. The next prime is 6834961453. The reversal of 6834961440 is 441694386.

It can be written as a sum of positive squares in 4 ways, for example, as 5505046416 + 1329915024 = 74196^2 + 36468^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1254402 + ... + 1259838.

Almost surely, 2^6834961440 is an apocalyptic number.

6834961440 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 6834961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12187438956).

6834961440 is an abundant number, since it is smaller than the sum of its proper divisors (17539916472).

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

6834961440 is a wasteful number, since it uses less digits than its factorization.

6834961440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6834961440 is about 82673.8256039963. The cubic root of 6834961440 is about 1897.7777749542. Note that the first 5 decimals are identical.

The spelling of 6834961440 in words is "six billion, eight hundred thirty-four million, nine hundred sixty-one thousand, four hundred forty".