6078481920 has 640 divisors, whose sum is σ = 26162611200. Its totient is φ = 1305870336.

The previous prime is 6078481853. The next prime is 6078481921. The reversal of 6078481920 is 291848706.

6078481920 is a `hidden beast` number, since 607 + 8 + 4 + 8 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6078481921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8224911 + ... + 8225649.

It is an arithmetic number, because the mean of its divisors is an integer number (40879080).

Almost surely, 2^6078481920 is an apocalyptic number.

6078481920 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 6078481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081305600).

6078481920 is an abundant number, since it is smaller than the sum of its proper divisors (20084129280).

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

6078481920 is a wasteful number, since it uses less digits than its factorization.

6078481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 6078481920 is about 77964.6196681546. The cubic root of 6078481920 is about 1825.0091368780.

The spelling of 6078481920 in words is "six billion, seventy-eight million, four hundred eighty-one thousand, nine hundred twenty".