47279700000 has 720 divisors, whose sum is σ = 187585259400. Its totient is φ = 11612160000.

The previous prime is 47279699993. The next prime is 47279700019. The reversal of 47279700000 is 797274.

It can be written as a sum of positive squares in 12 ways, for example, as 28397642256 + 18882057744 = 168516^2 + 137412^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 105299776 + ... + 105300224.

Almost surely, 2^47279700000 is an apocalyptic number.

47279700000 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 47279700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93792629700).

47279700000 is an abundant number, since it is smaller than the sum of its proper divisors (140305559400).

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

47279700000 is an equidigital number, since it uses as much as digits as its factorization.

47279700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 47279700000 in words is "forty-seven billion, two hundred seventy-nine million, seven hundred thousand".