4778947807200 has 432 divisors, whose sum is σ = 20272803707520. Its totient is φ = 1034839618560.

The previous prime is 4778947807121. The next prime is 4778947807247. The reversal of 4778947807200 is 27087498774.

4778947807200 is a `hidden beast` number, since 477 + 8 + 94 + 7 + 8 + 0 + 72 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1537674 + ... + 3452873.

It is an arithmetic number, because the mean of its divisors is an integer number (46927786360).

Almost surely, 2^{4778947807200} is an apocalyptic number.

4778947807200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4778947807200 is an abundant number, since it is smaller than the sum of its proper divisors (15493855900320).

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

4778947807200 is a wasteful number, since it uses less digits than its factorization.

4778947807200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990599 (or 4990583 counting only the distinct ones).

The product of its (nonzero) digits is 44255232, while the sum is 63.

The spelling of 4778947807200 in words is "four trillion, seven hundred seventy-eight billion, nine hundred forty-seven million, eight hundred seven thousand, two hundred".