4989357676800 has 648 divisors, whose sum is σ = 20720681916480. Its totient is φ = 1121723596800.

The previous prime is 4989357676783. The next prime is 4989357676801. The reversal of 4989357676800 is 86767539894.

4989357676800 is a `hidden beast` number, since 49 + 8 + 9 + 3 + 576 + 7 + 6 + 8 + 0 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (4989357676801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24493771 + ... + 24696629.

Almost surely, 2^{4989357676800} is an apocalyptic number.

4989357676800 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 4989357676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10360340958240).

4989357676800 is an abundant number, since it is smaller than the sum of its proper divisors (15731324239680).

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

4989357676800 is a wasteful number, since it uses less digits than its factorization.

4989357676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202959 (or 202937 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 4989357676800 in words is "four trillion, nine hundred eighty-nine billion, three hundred fifty-seven million, six hundred seventy-six thousand, eight hundred".