47280880080 has 720 divisors, whose sum is σ = 201962502144. Its totient is φ = 9839370240.

The previous prime is 47280880079. The next prime is 47280880103. The reversal of 47280880080 is 8008808274.

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

It is a super-2 number, since 2×47280880080² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18591289 + ... + 18593831.

Almost surely, 2^47280880080 is an apocalyptic number.

47280880080 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 47280880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100981251072).

47280880080 is an abundant number, since it is smaller than the sum of its proper divisors (154681622064).

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

47280880080 is a wasteful number, since it uses less digits than its factorization.

47280880080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 47280880080 in words is "forty-seven billion, two hundred eighty million, eight hundred eighty thousand, eighty".