47579644840000 has 945 divisors, whose sum is σ = 149006948979537. Its totient is φ = 15018441984000.

The previous prime is 47579644839983. The next prime is 47579644840001. The reversal of 47579644840000 is 4844697574.

It is a happy number.

The square root of 47579644840000 is 6897800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 46995851043904 + 583793796096 = 6855352^2 + 764064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47579644840001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 125539959811 + ... + 125539960189.

Almost surely, 2^{47579644840000} is an apocalyptic number.

47579644840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

47579644840000 is the 6897800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47579644840000

47579644840000 is an abundant number, since it is smaller than the sum of its proper divisors (101427304139537).

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

47579644840000 is an frugal number, since it uses more digits than its factorization.

47579644840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 58.

The spelling of 47579644840000 in words is "forty-seven trillion, five hundred seventy-nine billion, six hundred forty-four million, eight hundred forty thousand".