47242667520 has 240 divisors, whose sum is σ = 164162430432. Its totient is φ = 12555878400.

The previous prime is 47242667467. The next prime is 47242667551. The reversal of 47242667520 is 2576624274.

It is a happy number.

47242667520 is a `hidden beast` number, since 47 + 2 + 4 + 26 + 67 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7208245 + ... + 7214795.

Almost surely, 2^47242667520 is an apocalyptic number.

47242667520 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 47242667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82081215216).

47242667520 is an abundant number, since it is smaller than the sum of its proper divisors (116919762912).

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

47242667520 is a wasteful number, since it uses less digits than its factorization.

47242667520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6874 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 47242667520 in words is "forty-seven billion, two hundred forty-two million, six hundred sixty-seven thousand, five hundred twenty".