47769826712400 has 240 divisors, whose sum is σ = 183104059965120. Its totient is φ = 11758726540800.

The previous prime is 47769826712383. The next prime is 47769826712429. The reversal of 47769826712400 is 421762896774.

47769826712400 is a `hidden beast` number, since 4 + 7 + 76 + 98 + 2 + 6 + 71 + 2 + 400 = 666.

47769826712400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169980066 + ... + 170260865.

It is an arithmetic number, because the mean of its divisors is an integer number (762933583188).

Almost surely, 2^{47769826712400} is an apocalyptic number.

47769826712400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47769826712400 is an abundant number, since it is smaller than the sum of its proper divisors (135334233252720).

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

47769826712400 is a wasteful number, since it uses less digits than its factorization.

47769826712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340240971 (or 340240954 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 47769826712400 in words is "forty-seven trillion, seven hundred sixty-nine billion, eight hundred twenty-six million, seven hundred twelve thousand, four hundred".