6305996629440 has 560 divisors, whose sum is σ = 23412418666560. Its totient is φ = 1609615687680.

The previous prime is 6305996629433. The next prime is 6305996629511. The reversal of 6305996629440 is 449266995036.

6305996629440 is a `hidden beast` number, since 6 + 30 + 59 + 96 + 6 + 29 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56268181 + ... + 56380139.

It is an arithmetic number, because the mean of its divisors is an integer number (41807890476).

Almost surely, 2^{6305996629440} is an apocalyptic number.

6305996629440 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 6305996629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706209333280).

6305996629440 is an abundant number, since it is smaller than the sum of its proper divisors (17106422037120).

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

6305996629440 is a wasteful number, since it uses less digits than its factorization.

6305996629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112082 (or 112063 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 6305996629440 in words is "six trillion, three hundred five billion, nine hundred ninety-six million, six hundred twenty-nine thousand, four hundred forty".