4791864849408 has 1408 divisors, whose sum is σ = 18223736832000. Its totient is φ = 1235403767808.

The previous prime is 4791864849403. The next prime is 4791864849467. The reversal of 4791864849408 is 8049484681974.

4791864849408 is a `hidden beast` number, since 4 + 7 + 91 + 8 + 6 + 48 + 494 + 0 + 8 = 666.

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 (4791864849403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5794273891 + ... + 5794274717.

Almost surely, 2^{4791864849408} is an apocalyptic number.

4791864849408 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 4791864849408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111868416000).

4791864849408 is an abundant number, since it is smaller than the sum of its proper divisors (13431871982592).

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

4791864849408 is a wasteful number, since it uses less digits than its factorization.

4791864849408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 4791864849408 in words is "four trillion, seven hundred ninety-one billion, eight hundred sixty-four million, eight hundred forty-nine thousand, four hundred eight".