4535377920 has 280 divisors, whose sum is σ = 16271071344. Its totient is φ = 1208549376.

The previous prime is 4535377883. The next prime is 4535377921. The reversal of 4535377920 is 297735354.

4535377920 is a `hidden beast` number, since 45 + 3 + 537 + 79 + 2 + 0 = 666.

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 (4535377921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3317077 + ... + 3318443.

Almost surely, 2^4535377920 is an apocalyptic number.

4535377920 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 4535377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8135535672).

4535377920 is an abundant number, since it is smaller than the sum of its proper divisors (11735693424).

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

4535377920 is an equidigital number, since it uses as much as digits as its factorization.

4535377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The square root of 4535377920 is about 67345.2145293190. The cubic root of 4535377920 is about 1655.2788290202.

The spelling of 4535377920 in words is "four billion, five hundred thirty-five million, three hundred seventy-seven thousand, nine hundred twenty".