6156006420 has 96 divisors (see below), whose sum is σ = 18013298688. Its totient is φ = 1569278592.

The previous prime is 6156006413. The next prime is 6156006421. The reversal of 6156006420 is 246006516.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6156006421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95877 + ... + 146643.

It is an arithmetic number, because the mean of its divisors is an integer number (187638528).

Almost surely, 2^6156006420 is an apocalyptic number.

6156006420 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 6156006420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006649344).

6156006420 is an abundant number, since it is smaller than the sum of its proper divisors (11857292268).

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

6156006420 is a wasteful number, since it uses less digits than its factorization.

6156006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50869 (or 50867 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 6156006420 is about 78460.2218961940. The cubic root of 6156006420 is about 1832.7350603971.

The spelling of 6156006420 in words is "six billion, one hundred fifty-six million, six thousand, four hundred twenty".