4074577920 has 336 divisors, whose sum is σ = 16152327360. Its totient is φ = 930742272.

The previous prime is 4074577919. The next prime is 4074577921. The reversal of 4074577920 is 297754704.

4074577920 is a `hidden beast` number, since 4 + 0 + 74 + 577 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4074577919) and next prime (4074577921).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is not an unprimeable number, because it can be changed into a prime (4074577921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2579691 + ... + 2581269.

Almost surely, 2^4074577920 is an apocalyptic number.

4074577920 is a gapful number since it is divisible by the number (40) 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 4074577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076163680).

4074577920 is an abundant number, since it is smaller than the sum of its proper divisors (12077749440).

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

4074577920 is a wasteful number, since it uses less digits than its factorization.

4074577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 4074577920 is about 63832.4206027000. The cubic root of 4074577920 is about 1597.2057897505.

The spelling of 4074577920 in words is "four billion, seventy-four million, five hundred seventy-seven thousand, nine hundred twenty".