6412757120 has 256 divisors, whose sum is σ = 19635505920. Its totient is φ = 1944207360.

The previous prime is 6412757111. The next prime is 6412757137. The reversal of 6412757120 is 217572146.

It is a super-2 number, since 2×6412757120² = 82246907760221388800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1821602 + ... + 1825118.

It is an arithmetic number, because the mean of its divisors is an integer number (76701195).

Almost surely, 2^6412757120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9817752960).

6412757120 is an abundant number, since it is smaller than the sum of its proper divisors (13222748800).

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

6412757120 is a wasteful number, since it uses less digits than its factorization.

6412757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3579 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 6412757120 is about 80079.6923071012. The cubic root of 6412757120 is about 1857.8683252359.

The spelling of 6412757120 in words is "six billion, four hundred twelve million, seven hundred fifty-seven thousand, one hundred twenty".