47682720540 has 288 divisors, whose sum is σ = 178231173120. Its totient is φ = 10048347648.

The previous prime is 47682720509. The next prime is 47682720551. The reversal of 47682720540 is 4502728674.

It is a happy number.

47682720540 is a `hidden beast` number, since 4 + 7 + 6 + 82 + 7 + 20 + 540 = 666.

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

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, 21604117 + ... + 21606323.

It is an arithmetic number, because the mean of its divisors is an integer number (618858240).

Almost surely, 2^47682720540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47682720540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89115586560).

47682720540 is an abundant number, since it is smaller than the sum of its proper divisors (130548452580).

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

47682720540 is a wasteful number, since it uses less digits than its factorization.

47682720540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3561 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 47682720540 in words is "forty-seven billion, six hundred eighty-two million, seven hundred twenty thousand, five hundred forty".