4998662697600 has 2304 divisors, whose sum is σ = 22275374284800. Its totient is φ = 1049274777600.

The previous prime is 4998662697593. The next prime is 4998662697643. The reversal of 4998662697600 is 67962668994.

4998662697600 is a `hidden beast` number, since 4 + 9 + 9 + 8 + 6 + 6 + 2 + 6 + 9 + 7 + 600 = 666.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 9937698949 + ... + 9937699451.

It is an arithmetic number, because the mean of its divisors is an integer number (9668131200).

Almost surely, 2^{4998662697600} is an apocalyptic number.

4998662697600 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 4998662697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137687142400).

4998662697600 is an abundant number, since it is smaller than the sum of its proper divisors (17276711587200).

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

4998662697600 is a wasteful number, since it uses less digits than its factorization.

4998662697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 4998662697600 in words is "four trillion, nine hundred ninety-eight billion, six hundred sixty-two million, six hundred ninety-seven thousand, six hundred".