47311568640 has 1440 divisors, whose sum is σ = 210838763520. Its totient is φ = 9889579008.

The previous prime is 47311568639. The next prime is 47311568641. The reversal of 47311568640 is 4686511374.

47311568640 is a `hidden beast` number, since 4 + 73 + 11 + 568 + 6 + 4 + 0 = 666.

47311568640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47311568639) and next prime (47311568641).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47311568641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 648103644 + ... + 648103716.

It is an arithmetic number, because the mean of its divisors is an integer number (146415808).

Almost surely, 2^47311568640 is an apocalyptic number.

47311568640 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 47311568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105419381760).

47311568640 is an abundant number, since it is smaller than the sum of its proper divisors (163527194880).

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

47311568640 is a wasteful number, since it uses less digits than its factorization.

47311568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 47311568640 in words is "forty-seven billion, three hundred eleven million, five hundred sixty-eight thousand, six hundred forty".