4896765614880 has 480 divisors, whose sum is σ = 18313508006640. Its totient is φ = 1230021918720.

The previous prime is 4896765614803. The next prime is 4896765614887. The reversal of 4896765614880 is 884165676984.

4896765614880 is a `hidden beast` number, since 4 + 8 + 96 + 7 + 6 + 56 + 1 + 488 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 424911029904 + 4471854584976 = 651852^2 + 2114676^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4896765614880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4896765614799 and 4896765614808.

It is not an unprimeable number, because it can be changed into a prime (4896765614887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15250552 + ... + 15568328.

Almost surely, 2^{4896765614880} is an apocalyptic number.

4896765614880 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 4896765614880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156754003320).

4896765614880 is an abundant number, since it is smaller than the sum of its proper divisors (13416742391760).

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

4896765614880 is a wasteful number, since it uses less digits than its factorization.

4896765614880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317874 (or 317857 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 4896765614880 in words is "four trillion, eight hundred ninety-six billion, seven hundred sixty-five million, six hundred fourteen thousand, eight hundred eighty".