4374897868800 has 900 divisors, whose sum is σ = 16769706279480. Its totient is φ = 1126162759680.

The previous prime is 4374897868763. The next prime is 4374897868819. The reversal of 4374897868800 is 88687984734.

4374897868800 is a `hidden beast` number, since 4 + 3 + 7 + 489 + 7 + 8 + 68 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 962148127 + ... + 962152673.

Almost surely, 2^{4374897868800} is an apocalyptic number.

4374897868800 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 4374897868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384853139740).

4374897868800 is an abundant number, since it is smaller than the sum of its proper divisors (12394808410680).

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

4374897868800 is an equidigital number, since it uses as much as digits as its factorization.

4374897868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4586 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 72.

The spelling of 4374897868800 in words is "four trillion, three hundred seventy-four billion, eight hundred ninety-seven million, eight hundred sixty-eight thousand, eight hundred".