6412192920 has 192 divisors, whose sum is σ = 24303240000. Its totient is φ = 1465615872.

The previous prime is 6412192877. The next prime is 6412192933. The reversal of 6412192920 is 292912146.

6412192920 is a `hidden beast` number, since 641 + 2 + 1 + 9 + 2 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×6412192920² = 82232436086596252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97516 + ... + 149444.

It is an arithmetic number, because the mean of its divisors is an integer number (126579375).

Almost surely, 2^6412192920 is an apocalyptic number.

6412192920 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 6412192920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12151620000).

6412192920 is an abundant number, since it is smaller than the sum of its proper divisors (17891047080).

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

6412192920 is a wasteful number, since it uses less digits than its factorization.

6412192920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51967 (or 51946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 6412192920 is about 80076.1694888061. The cubic root of 6412192920 is about 1857.8138380093.

The spelling of 6412192920 in words is "six billion, four hundred twelve million, one hundred ninety-two thousand, nine hundred twenty".