6268509287040 has 2560 divisors, whose sum is σ = 28234305872640. Its totient is φ = 1165303480320.

The previous prime is 6268509286979. The next prime is 6268509287059. The reversal of 6268509287040 is 407829058626.

It is a happy number.

It is a super-2 number, since 2×6268509287040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 24391086592 + ... + 24391086848.

Almost surely, 2^{6268509287040} is an apocalyptic number.

6268509287040 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 6268509287040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14117152936320).

6268509287040 is an abundant number, since it is smaller than the sum of its proper divisors (21965796585600).

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

6268509287040 is a wasteful number, since it uses less digits than its factorization.

6268509287040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 6268509287040 in words is "six trillion, two hundred sixty-eight billion, five hundred nine million, two hundred eighty-seven thousand, forty".