47066734670400 has 2835 divisors, whose sum is σ = 197305895887419. Its totient is φ = 11001420103680.

The previous prime is 47066734670359. The next prime is 47066734670401. The reversal of 47066734670400 is 407643766074.

The square root of 47066734670400 is 6860520.

It is a perfect power (a square), and thus also a powerful number.

47066734670400 is a `hidden beast` number, since 4 + 7 + 0 + 66 + 73 + 46 + 70 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1100938153536 + 45965796516864 = 1049256^2 + 6779808^2 .

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

It is not an unprimeable number, because it can be changed into a prime (47066734670401) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 797741265571 + ... + 797741265629.

Almost surely, 2^{47066734670400} is an apocalyptic number.

47066734670400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47066734670400 is the 6860520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47066734670400

47066734670400 is an abundant number, since it is smaller than the sum of its proper divisors (150239161217019).

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

47066734670400 is a wasteful number, since it uses less digits than its factorization.

47066734670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 47066734670400 in words is "forty-seven trillion, sixty-six billion, seven hundred thirty-four million, six hundred seventy thousand, four hundred".