47066779200 has 672 divisors, whose sum is σ = 184964669440. Its totient is φ = 10251878400.

The previous prime is 47066779171. The next prime is 47066779211. The reversal of 47066779200 is 297766074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47066779200.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76036491 + ... + 76037109.

Almost surely, 2^47066779200 is an apocalyptic number.

47066779200 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 47066779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92482334720).

47066779200 is an abundant number, since it is smaller than the sum of its proper divisors (137897890240).

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

47066779200 is a wasteful number, since it uses less digits than its factorization.

47066779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 47066779200 in words is "forty-seven billion, sixty-six million, seven hundred seventy-nine thousand, two hundred".