6412812779520 has 1152 divisors, whose sum is σ = 26829712334880. Its totient is φ = 1387832279040.

The previous prime is 6412812779509. The next prime is 6412812779531. The reversal of 6412812779520 is 259772182146.

6412812779520 is a `hidden beast` number, since 6 + 4 + 1 + 28 + 1 + 27 + 79 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (6412812779509) and next prime (6412812779531).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6412812779520² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3726212260 + ... + 3726213980.

Almost surely, 2^{6412812779520} is an apocalyptic number.

6412812779520 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 6412812779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13414856167440).

6412812779520 is an abundant number, since it is smaller than the sum of its proper divisors (20416899555360).

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

6412812779520 is a wasteful number, since it uses less digits than its factorization.

6412812779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1807 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 6412812779520 in words is "six trillion, four hundred twelve billion, eight hundred twelve million, seven hundred seventy-nine thousand, five hundred twenty".