47686811336640 has 672 divisors, whose sum is σ = 195728739148800. Its totient is φ = 10646348396544.

The previous prime is 47686811336627. The next prime is 47686811336663. The reversal of 47686811336640 is 4663311868674.

47686811336640 is a `hidden beast` number, since 4 + 7 + 68 + 68 + 113 + 366 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 41915797 + ... + 43038443.

Almost surely, 2^{47686811336640} is an apocalyptic number.

47686811336640 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 47686811336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97864369574400).

47686811336640 is an abundant number, since it is smaller than the sum of its proper divisors (148041927812160).

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

47686811336640 is a wasteful number, since it uses less digits than its factorization.

47686811336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122734 (or 1122707 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 47686811336640 in words is "forty-seven trillion, six hundred eighty-six billion, eight hundred eleven million, three hundred thirty-six thousand, six hundred forty".