4535919360 has 216 divisors, whose sum is σ = 17936100000. Its totient is φ = 1036763136.

The previous prime is 4535919337. The next prime is 4535919391. The reversal of 4535919360 is 639195354.

4535919360 is a `hidden beast` number, since 4 + 53 + 591 + 9 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52516 + ... + 108764.

It is an arithmetic number, because the mean of its divisors is an integer number (83037500).

Almost surely, 2^4535919360 is an apocalyptic number.

4535919360 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 4535919360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8968050000).

4535919360 is an abundant number, since it is smaller than the sum of its proper divisors (13400180640).

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

4535919360 is a wasteful number, since it uses less digits than its factorization.

4535919360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56283 (or 56266 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 4535919360 is about 67349.2342940883. The cubic root of 4535919360 is about 1655.3446962624.

The spelling of 4535919360 in words is "four billion, five hundred thirty-five million, nine hundred nineteen thousand, three hundred sixty".