6280861562640 has 320 divisors, whose sum is σ = 24729537208320. Its totient is φ = 1435342394880.

The previous prime is 6280861562627. The next prime is 6280861562747. The reversal of 6280861562640 is 462651680826.

6280861562640 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 8 + 6 + 1 + 5 + 626 + 4 + 0 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 82078477 + ... + 82154963.

It is an arithmetic number, because the mean of its divisors is an integer number (77279803776).

Almost surely, 2^{6280861562640} is an apocalyptic number.

6280861562640 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 6280861562640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364768604160).

6280861562640 is an abundant number, since it is smaller than the sum of its proper divisors (18448675645680).

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

6280861562640 is a wasteful number, since it uses less digits than its factorization.

6280861562640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81947 (or 81935 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 6280861562640 in words is "six trillion, two hundred eighty billion, eight hundred sixty-one million, five hundred sixty-two thousand, six hundred forty".