47645366610240 has 672 divisors, whose sum is σ = 189735323222016. Its totient is φ = 10749082337280.

The previous prime is 47645366610239. The next prime is 47645366610251. The reversal of 47645366610240 is 4201666354674.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 548973889 + ... + 549060671.

Almost surely, 2^{47645366610240} is an apocalyptic number.

47645366610240 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 47645366610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94867661611008).

47645366610240 is an abundant number, since it is smaller than the sum of its proper divisors (142089956611776).

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

47645366610240 is a wasteful number, since it uses less digits than its factorization.

47645366610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87167 (or 87154 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 47645366610240 in words is "forty-seven trillion, six hundred forty-five billion, three hundred sixty-six million, six hundred ten thousand, two hundred forty".