6412979124720 has 1280 divisors, whose sum is σ = 27084666470400. Its totient is φ = 1361411850240.

The previous prime is 6412979124709. The next prime is 6412979124749. The reversal of 6412979124720 is 274219792146.

6412979124720 is a `hidden beast` number, since 6 + 4 + 1 + 297 + 91 + 247 + 20 = 666.

It is a super-2 number, since 2×6412979124720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7643598061 + ... + 7643598899.

It is an arithmetic number, because the mean of its divisors is an integer number (21159895680).

Almost surely, 2^{6412979124720} is an apocalyptic number.

6412979124720 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 6412979124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13542333235200).

6412979124720 is an abundant number, since it is smaller than the sum of its proper divisors (20671687345680).

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

6412979124720 is a wasteful number, since it uses less digits than its factorization.

6412979124720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 6412979124720 in words is "six trillion, four hundred twelve billion, nine hundred seventy-nine million, one hundred twenty-four thousand, seven hundred twenty".