6287895008640 has 2560 divisors, whose sum is σ = 28026490060800. Its totient is φ = 1311551668224.

The previous prime is 6287895008557. The next prime is 6287895008657. The reversal of 6287895008640 is 468005987826.

6287895008640 is a `hidden beast` number, since 6 + 2 + 8 + 7 + 8 + 9 + 500 + 86 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 37652065837 + ... + 37652066003.

It is an arithmetic number, because the mean of its divisors is an integer number (10947847680).

Almost surely, 2^{6287895008640} is an apocalyptic number.

6287895008640 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 6287895008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013245030400).

6287895008640 is an abundant number, since it is smaller than the sum of its proper divisors (21738595052160).

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

6287895008640 is a wasteful number, since it uses less digits than its factorization.

6287895008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 6287895008640 in words is "six trillion, two hundred eighty-seven billion, eight hundred ninety-five million, eight thousand, six hundred forty".