10047473280 has 640 divisors, whose sum is σ = 40961123280. Its totient is φ = 2325086208.

The previous prime is 10047473279. The next prime is 10047473281. The reversal of 10047473280 is 8237474001.

It is a happy number.

10047473280 is a `hidden beast` number, since 100 + 4 + 7 + 473 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10047473279) and next prime (10047473281).

It can be written as a sum of positive squares in 8 ways, for example, as 5726251584 + 4321221696 = 75672^2 + 65736^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (10047473281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11456202 + ... + 11457078.

Almost surely, 2^10047473280 is an apocalyptic number.

10047473280 is a gapful number since it is divisible by the number (10) 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 10047473280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20480561640).

10047473280 is an abundant number, since it is smaller than the sum of its proper divisors (30913650000).

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

10047473280 is a wasteful number, since it uses less digits than its factorization.

10047473280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 10047473280 in words is "ten billion, forty-seven million, four hundred seventy-three thousand, two hundred eighty".