4054927968 has 648 divisors, whose sum is σ = 15575689584. Its totient is φ = 989936640.

The previous prime is 4054927967. The next prime is 4054927973. The reversal of 4054927968 is 8697294504.

4054927968 is a `hidden beast` number, since 4 + 0 + 549 + 2 + 7 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054927967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 130804113 + ... + 130804143.

It is an arithmetic number, because the mean of its divisors is an integer number (24036558).

Almost surely, 2^4054927968 is an apocalyptic number.

4054927968 is a gapful number since it is divisible by the number (48) 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 4054927968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787844792).

4054927968 is an abundant number, since it is smaller than the sum of its proper divisors (11520761616).

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

4054927968 is a wasteful number, since it uses less digits than its factorization.

4054927968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4054927968 is about 63678.3163094000. The cubic root of 4054927968 is about 1594.6341037572.

The spelling of 4054927968 in words is "four billion, fifty-four million, nine hundred twenty-seven thousand, nine hundred sixty-eight".