4793671249920 has 624 divisors, whose sum is σ = 20106886737600. Its totient is φ = 1031238844416.

The previous prime is 4793671249901. The next prime is 4793671249987. The reversal of 4793671249920 is 299421763974.

4793671249920 is a `hidden beast` number, since 4 + 7 + 9 + 367 + 1 + 249 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21824806 + ... + 22043354.

It is an arithmetic number, because the mean of its divisors is an integer number (32222574900).

Almost surely, 2^{4793671249920} is an apocalyptic number.

4793671249920 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 4793671249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10053443368800).

4793671249920 is an abundant number, since it is smaller than the sum of its proper divisors (15313215487680).

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

4793671249920 is a wasteful number, since it uses less digits than its factorization.

4793671249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218608 (or 218583 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 4793671249920 in words is "four trillion, seven hundred ninety-three billion, six hundred seventy-one million, two hundred forty-nine thousand, nine hundred twenty".