6407840994336 has 144 divisors (see below), whose sum is σ = 18386734065336. Its totient is φ = 2116678975488.

The previous prime is 6407840994283. The next prime is 6407840994371. The reversal of 6407840994336 is 6334990487046.

6407840994336 is a `hidden beast` number, since 6 + 4 + 0 + 78 + 40 + 99 + 433 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4595209598736 + 1812631395600 = 2143644^2 + 1346340^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240584476 + ... + 240611108.

Almost surely, 2^{6407840994336} 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 6407840994336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9193367032668).

6407840994336 is an abundant number, since it is smaller than the sum of its proper divisors (11978893071000).

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

6407840994336 is a wasteful number, since it uses less digits than its factorization.

6407840994336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34155 (or 34144 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 6407840994336 in words is "six trillion, four hundred seven billion, eight hundred forty million, nine hundred ninety-four thousand, three hundred thirty-six".