6011764920 has 480 divisors, whose sum is σ = 24754712400. Its totient is φ = 1301142528.

The previous prime is 6011764883. The next prime is 6011764981. The reversal of 6011764920 is 294671106.

6011764920 is a `hidden beast` number, since 6 + 0 + 1 + 1 + 7 + 649 + 2 + 0 = 666.

It is a super-2 number, since 2×6011764920² = 72282634906685212800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3015444 + ... + 3017436.

Almost surely, 2^6011764920 is an apocalyptic number.

6011764920 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 6011764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377356200).

6011764920 is an abundant number, since it is smaller than the sum of its proper divisors (18742947480).

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

6011764920 is a wasteful number, since it uses less digits than its factorization.

6011764920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 6011764920 is about 77535.5719653889. The cubic root of 6011764920 is about 1818.3074995333.

The spelling of 6011764920 in words is "six billion, eleven million, seven hundred sixty-four thousand, nine hundred twenty".