6407449776 has 360 divisors, whose sum is σ = 22974288480. Its totient is φ = 1630347264.

The previous prime is 6407449771. The next prime is 6407449813. The reversal of 6407449776 is 6779447046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6407449771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4939560 + ... + 4940856.

It is an arithmetic number, because the mean of its divisors is an integer number (63817468).

Almost surely, 2^6407449776 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 6407449776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11487144240).

6407449776 is an abundant number, since it is smaller than the sum of its proper divisors (16566838704).

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

6407449776 is a wasteful number, since it uses less digits than its factorization.

6407449776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The square root of 6407449776 is about 80046.5475582801. The cubic root of 6407449776 is about 1857.3556457133.

The spelling of 6407449776 in words is "six billion, four hundred seven million, four hundred forty-nine thousand, seven hundred seventy-six".