50767429478400 has 1296 divisors, whose sum is σ = 186931610611200. Its totient is φ = 13165959905280.

The previous prime is 50767429478399. The next prime is 50767429478561. The reversal of 50767429478400 is 487492476705.

50767429478400 is a `hidden beast` number, since 5 + 0 + 7 + 6 + 74 + 2 + 94 + 78 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 365233305531 + ... + 365233305669.

Almost surely, 2^{50767429478400} is an apocalyptic number.

50767429478400 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 50767429478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93465805305600).

50767429478400 is an abundant number, since it is smaller than the sum of its proper divisors (136164181132800).

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

50767429478400 is a wasteful number, since it uses less digits than its factorization.

50767429478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 50767429478400 in words is "fifty trillion, seven hundred sixty-seven billion, four hundred twenty-nine million, four hundred seventy-eight thousand, four hundred".