6429760416 has 144 divisors (see below), whose sum is σ = 18834719904. Its totient is φ = 2079447552.

The previous prime is 6429760409. The next prime is 6429760457. The reversal of 6429760416 is 6140679246.

6429760416 is a `hidden beast` number, since 6 + 4 + 29 + 7 + 604 + 16 = 666.

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

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, 1942635 + ... + 1945941.

It is an arithmetic number, because the mean of its divisors is an integer number (130796666).

Almost surely, 2^6429760416 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 6429760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9417359952).

6429760416 is an abundant number, since it is smaller than the sum of its proper divisors (12404959488).

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

6429760416 is a wasteful number, since it uses less digits than its factorization.

6429760416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6429760416 is about 80185.7868702428. The cubic root of 6429760416 is about 1859.5089095455.

The spelling of 6429760416 in words is "six billion, four hundred twenty-nine million, seven hundred sixty thousand, four hundred sixteen".