47972643840 has 1056 divisors, whose sum is σ = 194235604992. Its totient is φ = 10838016000.

The previous prime is 47972643833. The next prime is 47972643841. The reversal of 47972643840 is 4834627974.

47972643840 is a `hidden beast` number, since 479 + 72 + 64 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47972643841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675671005 + ... + 675671075.

It is an arithmetic number, because the mean of its divisors is an integer number (183935232).

Almost surely, 2^47972643840 is an apocalyptic number.

47972643840 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 47972643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97117802496).

47972643840 is an abundant number, since it is smaller than the sum of its proper divisors (146262961152).

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

47972643840 is a wasteful number, since it uses less digits than its factorization.

47972643840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 47972643840 in words is "forty-seven billion, nine hundred seventy-two million, six hundred forty-three thousand, eight hundred forty".