6287135312640 has 576 divisors, whose sum is σ = 26014004352000. Its totient is φ = 1256698478592.

The previous prime is 6287135312617. The next prime is 6287135312651. The reversal of 6287135312640 is 462135317826.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6287135312640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6165886 + ... + 7112834.

It is an arithmetic number, because the mean of its divisors is an integer number (45163202000).

Almost surely, 2^{6287135312640} is an apocalyptic number.

6287135312640 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 6287135312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007002176000).

6287135312640 is an abundant number, since it is smaller than the sum of its proper divisors (19726869039360).

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

6287135312640 is a wasteful number, since it uses less digits than its factorization.

6287135312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947012 (or 946998 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 6287135312640 in words is "six trillion, two hundred eighty-seven billion, one hundred thirty-five million, three hundred twelve thousand, six hundred forty".