47662117632 has 144 divisors (see below), whose sum is σ = 147073812480. Its totient is φ = 15196566528.

The previous prime is 47662117631. The next prime is 47662117661. The reversal of 47662117632 is 23671126674.

47662117632 is a `hidden beast` number, since 4 + 7 + 6 + 6 + 2 + 1 + 1 + 7 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (47662117631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9073 + ... + 308879.

It is an arithmetic number, because the mean of its divisors is an integer number (1021345920).

Almost surely, 2^47662117632 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 47662117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73536906240).

47662117632 is an abundant number, since it is smaller than the sum of its proper divisors (99411694848).

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

47662117632 is a wasteful number, since it uses less digits than its factorization.

47662117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299855 (or 299835 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 47662117632 in words is "forty-seven billion, six hundred sixty-two million, one hundred seventeen thousand, six hundred thirty-two".