6303057542496 has 960 divisors, whose sum is σ = 22181049253440. Its totient is φ = 1730755952640.

The previous prime is 6303057542449. The next prime is 6303057542497. The reversal of 6303057542496 is 6942457503036.

6303057542496 is a `hidden beast` number, since 6 + 3 + 0 + 3 + 0 + 5 + 7 + 542 + 4 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6303057542497) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5179175680 + ... + 5179176896.

It is an arithmetic number, because the mean of its divisors is an integer number (23105259639).

Almost surely, 2^{6303057542496} is an apocalyptic number.

6303057542496 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 6303057542496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090524626720).

6303057542496 is an abundant number, since it is smaller than the sum of its proper divisors (15877991710944).

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

6303057542496 is a wasteful number, since it uses less digits than its factorization.

6303057542496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 6303057542496 in words is "six trillion, three hundred three billion, fifty-seven million, five hundred forty-two thousand, four hundred ninety-six".