4896362465280 has 1152 divisors, whose sum is σ = 20017225388160. Its totient is φ = 1091268771840.

The previous prime is 4896362465273. The next prime is 4896362465303. The reversal of 4896362465280 is 825642636984.

It is a happy number.

4896362465280 is a `hidden beast` number, since 4 + 8 + 9 + 6 + 3 + 62 + 46 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4124988847 + ... + 4124990033.

It is an arithmetic number, because the mean of its divisors is an integer number (17376063705).

Almost surely, 2^{4896362465280} is an apocalyptic number.

4896362465280 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 4896362465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10008612694080).

4896362465280 is an abundant number, since it is smaller than the sum of its proper divisors (15120862922880).

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

4896362465280 is a wasteful number, since it uses less digits than its factorization.

4896362465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 4896362465280 in words is "four trillion, eight hundred ninety-six billion, three hundred sixty-two million, four hundred sixty-five thousand, two hundred eighty".