47263449600 has 360 divisors, whose sum is σ = 172356476292. Its totient is φ = 12364185600.

The previous prime is 47263449587. The next prime is 47263449641. The reversal of 47263449600 is 694436274.

It is a happy number.

47263449600 is a `hidden beast` number, since 4 + 7 + 2 + 6 + 34 + 4 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 15087700224 + 32175749376 = 122832^2 + 179376^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6101730 + ... + 6109470.

Almost surely, 2^47263449600 is an apocalyptic number.

47263449600 is a gapful number since it is divisible by the number (40) 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 47263449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86178238146).

47263449600 is an abundant number, since it is smaller than the sum of its proper divisors (125093026692).

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

47263449600 is a wasteful number, since it uses less digits than its factorization.

47263449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7828 (or 7804 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 47263449600 in words is "forty-seven billion, two hundred sixty-three million, four hundred forty-nine thousand, six hundred".