6162001920 has 312 divisors, whose sum is σ = 21635641872. Its totient is φ = 1622016000.

The previous prime is 6162001913. The next prime is 6162001931. The reversal of 6162001920 is 291002616.

6162001920 is a `hidden beast` number, since 6 + 1 + 620 + 0 + 19 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18616155 + ... + 18616485.

It is an arithmetic number, because the mean of its divisors is an integer number (69345006).

Almost surely, 2^6162001920 is an apocalyptic number.

6162001920 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 6162001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817820936).

6162001920 is an abundant number, since it is smaller than the sum of its proper divisors (15473639952).

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

6162001920 is a wasteful number, since it uses less digits than its factorization.

6162001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6162001920 is about 78498.4198567079. The cubic root of 6162001920 is about 1833.3298506454.

The spelling of 6162001920 in words is "six billion, one hundred sixty-two million, one thousand, nine hundred twenty".