4896137007360 has 576 divisors, whose sum is σ = 18546700032000. Its totient is φ = 1219485818880.

The previous prime is 4896137007263. The next prime is 4896137007373. The reversal of 4896137007360 is 637007316984.

4896137007360 is a `hidden beast` number, since 489 + 6 + 1 + 37 + 0 + 0 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4896137007297 and 4896137007306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46568931 + ... + 46673949.

It is an arithmetic number, because the mean of its divisors is an integer number (32199132000).

Almost surely, 2^{4896137007360} is an apocalyptic number.

4896137007360 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 4896137007360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273350016000).

4896137007360 is an abundant number, since it is smaller than the sum of its proper divisors (13650563024640).

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

4896137007360 is a wasteful number, since it uses less digits than its factorization.

4896137007360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105139 (or 105119 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 4896137007360 in words is "four trillion, eight hundred ninety-six billion, one hundred thirty-seven million, seven thousand, three hundred sixty".