4867840793088 has 2560 divisors, whose sum is σ = 19957122662400. Its totient is φ = 1134981808128.

The previous prime is 4867840793051. The next prime is 4867840793089. The reversal of 4867840793088 is 8803970487684.

4867840793088 is a `hidden beast` number, since 48 + 6 + 78 + 407 + 9 + 30 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4867840793089) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 29148747181 + ... + 29148747347.

It is an arithmetic number, because the mean of its divisors is an integer number (7795751040).

Almost surely, 2^{4867840793088} is an apocalyptic number.

4867840793088 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 4867840793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9978561331200).

4867840793088 is an abundant number, since it is smaller than the sum of its proper divisors (15089281869312).

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

4867840793088 is a wasteful number, since it uses less digits than its factorization.

4867840793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 4867840793088 in words is "four trillion, eight hundred sixty-seven billion, eight hundred forty million, seven hundred ninety-three thousand, eighty-eight".