6426291061080 has 1440 divisors, whose sum is σ = 26540766141120. Its totient is φ = 1388557209600.

The previous prime is 6426291061049. The next prime is 6426291061109. The reversal of 6426291061080 is 801601926246.

6426291061080 is a `hidden beast` number, since 6 + 4 + 2 + 6 + 29 + 1 + 0 + 610 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2405948145 + ... + 2405950815.

It is an arithmetic number, because the mean of its divisors is an integer number (18431087598).

Almost surely, 2^{6426291061080} is an apocalyptic number.

6426291061080 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 6426291061080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13270383070560).

6426291061080 is an abundant number, since it is smaller than the sum of its proper divisors (20114475080040).

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

6426291061080 is a wasteful number, since it uses less digits than its factorization.

6426291061080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 6426291061080 in words is "six trillion, four hundred twenty-six billion, two hundred ninety-one million, sixty-one thousand, eighty".