47461152960 has 560 divisors, whose sum is σ = 184113379296. Its totient is φ = 11535187968.

The previous prime is 47461152943. The next prime is 47461152967. The reversal of 47461152960 is 6925116474.

47461152960 is a `hidden beast` number, since 4 + 7 + 4 + 61 + 1 + 529 + 60 = 666.

It is a super-2 number, since 2×47461152960² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (47461152967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27966832 + ... + 27968528.

Almost surely, 2^47461152960 is an apocalyptic number.

47461152960 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 47461152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92056689648).

47461152960 is an abundant number, since it is smaller than the sum of its proper divisors (136652226336).

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

47461152960 is a wasteful number, since it uses less digits than its factorization.

47461152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1803 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 47461152960 in words is "forty-seven billion, four hundred sixty-one million, one hundred fifty-two thousand, nine hundred sixty".