4993681492800 has 5292 divisors, whose sum is σ = 25854372732096. Its totient is φ = 937449676800.

The previous prime is 4993681492741. The next prime is 4993681492801. The reversal of 4993681492800 is 82941863994.

4993681492800 is a `hidden beast` number, since 4 + 9 + 9 + 3 + 68 + 1 + 492 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5292).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4993681492801) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 106248542377 + ... + 106248542423.

Almost surely, 2^{4993681492800} is an apocalyptic number.

4993681492800 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 4993681492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12927186366048).

4993681492800 is an abundant number, since it is smaller than the sum of its proper divisors (20860691239296).

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

4993681492800 is a wasteful number, since it uses less digits than its factorization.

4993681492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 4993681492800 in words is "four trillion, nine hundred ninety-three billion, six hundred eighty-one million, four hundred ninety-two thousand, eight hundred".