6279955920000 has 1120 divisors, whose sum is σ = 26789871746880. Its totient is φ = 1435325184000.

The previous prime is 6279955919999. The next prime is 6279955920071. The reversal of 6279955920000 is 295599726.

It is a happy number.

6279955920000 is a `hidden beast` number, since 62 + 7 + 9 + 9 + 559 + 20 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 408232309 + ... + 408247691.

Almost surely, 2^{6279955920000} is an apocalyptic number.

6279955920000 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 6279955920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13394935873440).

6279955920000 is an abundant number, since it is smaller than the sum of its proper divisors (20509915826880).

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

6279955920000 is an frugal number, since it uses more digits than its factorization.

6279955920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15442 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 6279955920000 in words is "six trillion, two hundred seventy-nine billion, nine hundred fifty-five million, nine hundred twenty thousand".