4873767651648 has 560 divisors, whose sum is σ = 17580929836800. Its totient is φ = 1331950169088.

The previous prime is 4873767651647. The next prime is 4873767651661. The reversal of 4873767651648 is 8461567673784.

4873767651648 is a `hidden beast` number, since 4 + 8 + 7 + 3 + 7 + 67 + 6 + 516 + 48 = 666.

It is a super-2 number, since 2×4873767651648² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4873767651647) 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, 40836990 + ... + 40956162.

Almost surely, 2^{4873767651648} is an apocalyptic number.

4873767651648 is a gapful number since it is divisible by the number (48) 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 4873767651648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8790464918400).

4873767651648 is an abundant number, since it is smaller than the sum of its proper divisors (12707162185152).

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

4873767651648 is a wasteful number, since it uses less digits than its factorization.

4873767651648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119241 (or 119208 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 4873767651648 in words is "four trillion, eight hundred seventy-three billion, seven hundred sixty-seven million, six hundred fifty-one thousand, six hundred forty-eight".