6403397616 has 720 divisors, whose sum is σ = 25245312768. Its totient is φ = 1490227200.

The previous prime is 6403397573. The next prime is 6403397621. The reversal of 6403397616 is 6167933046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30347751 + ... + 30347961.

Almost surely, 2^6403397616 is an apocalyptic number.

6403397616 is a gapful number since it is divisible by the number (66) 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 6403397616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12622656384).

6403397616 is an abundant number, since it is smaller than the sum of its proper divisors (18841915152).

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

6403397616 is a wasteful number, since it uses less digits than its factorization.

6403397616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6403397616 is about 80021.2322824386. The cubic root of 6403397616 is about 1856.9640239994.

The spelling of 6403397616 in words is "six billion, four hundred three million, three hundred ninety-seven thousand, six hundred sixteen".