6412561024 has 64 divisors (see below), whose sum is σ = 13562073000. Its totient is φ = 3009740800.

The previous prime is 6412561019. The next prime is 6412561049. The reversal of 6412561024 is 4201652146.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6172930624 + 239630400 = 78568^2 + 15480^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6412561024² = 82241877773047857152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868902 + ... + 876250.

Almost surely, 2^6412561024 is an apocalyptic number.

6412561024 is a gapful number since it is divisible by the number (64) 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 6412561024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781036500).

6412561024 is an abundant number, since it is smaller than the sum of its proper divisors (7149511976).

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

6412561024 is a wasteful number, since it uses less digits than its factorization.

6412561024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781 (or 7769 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 6412561024 is about 80078.4679174121. The cubic root of 6412561024 is about 1857.8493877620.

The spelling of 6412561024 in words is "six billion, four hundred twelve million, five hundred sixty-one thousand, twenty-four".