47645644410 has 216 divisors, whose sum is σ = 156043796220. Its totient is φ = 10052550144.

The previous prime is 47645644393. The next prime is 47645644427. The reversal of 47645644410 is 1444654674.

47645644410 is a `hidden beast` number, since 4 + 76 + 4 + 564 + 4 + 4 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (47645644393) and next prime (47645644427).

It can be written as a sum of positive squares in 6 ways, for example, as 395492769 + 47250151641 = 19887^2 + 217371^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 713326 + ... + 777254.

Almost surely, 2^47645644410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47645644410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78021898110).

47645644410 is an abundant number, since it is smaller than the sum of its proper divisors (108398151810).

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

47645644410 is a wasteful number, since it uses less digits than its factorization.

47645644410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63982 (or 63959 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 47645644410 in words is "forty-seven billion, six hundred forty-five million, six hundred forty-four thousand, four hundred ten".