6363346440 has 384 divisors, whose sum is σ = 22087618560. Its totient is φ = 1463616000.

The previous prime is 6363346399. The next prime is 6363346453. The reversal of 6363346440 is 446433636.

It is a Smith number, since the sum of its digits (39) 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 95 ways as a sum of consecutive naturals, for example, 30157935 + ... + 30158145.

It is an arithmetic number, because the mean of its divisors is an integer number (57519840).

Almost surely, 2^6363346440 is an apocalyptic number.

6363346440 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 6363346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043809280).

6363346440 is an abundant number, since it is smaller than the sum of its proper divisors (15724272120).

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

6363346440 is a wasteful number, since it uses less digits than its factorization.

6363346440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 39.

The square root of 6363346440 is about 79770.5863084884. The cubic root of 6363346440 is about 1853.0843547264.

The spelling of 6363346440 in words is "six billion, three hundred sixty-three million, three hundred forty-six thousand, four hundred forty".