6412005624 has 32 divisors (see below), whose sum is σ = 16032816720. Its totient is φ = 2136961536.

The previous prime is 6412005569. The next prime is 6412005629. The reversal of 6412005624 is 4265002146.

It is a Cunningham number, because it is equal to 80075²-1.

It is a super-2 number, since 2×6412005624² = 82227632244415258752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6412005591 and 6412005600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412005629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 140134 + ... + 180170.

Almost surely, 2^6412005624 is an apocalyptic number.

It is an amenable number.

6412005624 is an abundant number, since it is smaller than the sum of its proper divisors (9620811096).

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

6412005624 is a wasteful number, since it uses less digits than its factorization.

6412005624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46719 (or 46715 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 6412005624 is about 80074.9999937559. Note that the first 5 decimals coincide. The cubic root of 6412005624 is about 1857.7957493204.

The spelling of 6412005624 in words is "six billion, four hundred twelve million, five thousand, six hundred twenty-four".