47733632540 has 96 divisors (see below), whose sum is σ = 112324181760. Its totient is φ = 16888435200.

The previous prime is 47733632503. The next prime is 47733632543. The reversal of 47733632540 is 4523633774.

47733632540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 47733632491 and 47733632500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47733632543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3411599 + ... + 3425561.

It is an arithmetic number, because the mean of its divisors is an integer number (1170043560).

Almost surely, 2^47733632540 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 47733632540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56162090880).

47733632540 is an abundant number, since it is smaller than the sum of its proper divisors (64590549220).

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

47733632540 is a wasteful number, since it uses less digits than its factorization.

47733632540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14403 (or 14401 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 44.

The spelling of 47733632540 in words is "forty-seven billion, seven hundred thirty-three million, six hundred thirty-two thousand, five hundred forty".