6280164456930 has 480 divisors, whose sum is σ = 21342130541424. Its totient is φ = 1313307426816.

The previous prime is 6280164456877. The next prime is 6280164456959. The reversal of 6280164456930 is 396544610826.

6280164456930 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 1 + 6 + 44 + 569 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1445051622609 + 4835112834321 = 1202103^2 + 2198889^2 .

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 239 ways as a sum of consecutive naturals, for example, 58250754 + ... + 58358466.

Almost surely, 2^{6280164456930} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6280164456930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671065270712).

6280164456930 is an abundant number, since it is smaller than the sum of its proper divisors (15061966084494).

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

6280164456930 is a wasteful number, since it uses less digits than its factorization.

6280164456930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107872 (or 107856 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6280164456930 in words is "six trillion, two hundred eighty billion, one hundred sixty-four million, four hundred fifty-six thousand, nine hundred thirty".