6278912640000 has 4400 divisors, whose sum is σ = 31718551514496. Its totient is φ = 1204346880000.

The previous prime is 6278912639969. The next prime is 6278912640047. The reversal of 6278912640000 is 462198726.

It is a happy number.

6278912640000 is a `hidden beast` number, since 627 + 8 + 9 + 12 + 6 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 482993279994 + ... + 482993280006.

Almost surely, 2^{6278912640000} is an apocalyptic number.

6278912640000 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 6278912640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859275757248).

6278912640000 is an abundant number, since it is smaller than the sum of its proper divisors (25439638874496).

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

6278912640000 is an equidigital number, since it uses as much as digits as its factorization.

6278912640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 6278912640000 in words is "six trillion, two hundred seventy-eight billion, nine hundred twelve million, six hundred forty thousand".