6461124556260 has 192 divisors, whose sum is σ = 20032416923904. Its totient is φ = 1542949632000.

The previous prime is 6461124556247. The next prime is 6461124556279. The reversal of 6461124556260 is 626554211646.

It is a happy number.

It is a super-2 number, since 2×6461124556260² (a number of 26 digits) contains 22 as substring.

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, 12886014 + ... + 13378026.

It is an arithmetic number, because the mean of its divisors is an integer number (104335504812).

Almost surely, 2^{6461124556260} is an apocalyptic number.

6461124556260 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 6461124556260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10016208461952).

6461124556260 is an abundant number, since it is smaller than the sum of its proper divisors (13571292367644).

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

6461124556260 is a wasteful number, since it uses less digits than its factorization.

6461124556260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492334 (or 492332 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 6461124556260 in words is "six trillion, four hundred sixty-one billion, one hundred twenty-four million, five hundred fifty-six thousand, two hundred sixty".