5034378646800 has 1080 divisors, whose sum is σ = 20223278618400. Its totient is φ = 1196827176960.

The previous prime is 5034378646793. The next prime is 5034378646831. The reversal of 5034378646800 is 86468734305.

5034378646800 is a `hidden beast` number, since 50 + 3 + 437 + 86 + 4 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 847678231 + ... + 847684169.

It is an arithmetic number, because the mean of its divisors is an integer number (18725257980).

Almost surely, 2^{5034378646800} is an apocalyptic number.

5034378646800 is a gapful number since it is divisible by the number (50) 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 5034378646800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10111639309200).

5034378646800 is an abundant number, since it is smaller than the sum of its proper divisors (15188899971600).

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

5034378646800 is a wasteful number, since it uses less digits than its factorization.

5034378646800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6017 (or 5985 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 5034378646800 in words is "five trillion, thirty-four billion, three hundred seventy-eight million, six hundred forty-six thousand, eight hundred".