6156817920 has 480 divisors, whose sum is σ = 24646770720. Its totient is φ = 1403781120.

The previous prime is 6156817913. The next prime is 6156817963. The reversal of 6156817920 is 297186516.

6156817920 is a `hidden beast` number, since 61 + 568 + 1 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 4307766 + ... + 4309194.

It is an arithmetic number, because the mean of its divisors is an integer number (51347439).

Almost surely, 2^6156817920 is an apocalyptic number.

6156817920 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 6156817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12323385360).

6156817920 is an abundant number, since it is smaller than the sum of its proper divisors (18489952800).

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

6156817920 is a wasteful number, since it uses less digits than its factorization.

6156817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 6156817920 is about 78465.3931360826. The cubic root of 6156817920 is about 1832.8155887490.

The spelling of 6156817920 in words is "six billion, one hundred fifty-six million, eight hundred seventeen thousand, nine hundred twenty".