4905351360 has 896 divisors, whose sum is σ = 22612746240. Its totient is φ = 971440128.

The previous prime is 4905351359. The next prime is 4905351403. The reversal of 4905351360 is 631535094.

4905351360 is a `hidden beast` number, since 4 + 90 + 53 + 513 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13365897 + ... + 13366263.

It is an arithmetic number, because the mean of its divisors is an integer number (25237440).

Almost surely, 2^4905351360 is an apocalyptic number.

4905351360 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 4905351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11306373120).

4905351360 is an abundant number, since it is smaller than the sum of its proper divisors (17707394880).

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

4905351360 is a wasteful number, since it uses less digits than its factorization.

4905351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 4905351360 is about 70038.2135694508. The cubic root of 4905351360 is about 1699.1173457194.

The spelling of 4905351360 in words is "four billion, nine hundred five million, three hundred fifty-one thousand, three hundred sixty".