47461776768 has 256 divisors, whose sum is σ = 165612096000. Its totient is φ = 13092710400.

The previous prime is 47461776763. The next prime is 47461776811. The reversal of 47461776768 is 86767716474.

47461776768 is a `hidden beast` number, since 4 + 7 + 4 + 617 + 7 + 6 + 7 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47461776763) 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, 667743 + ... + 735393.

It is an arithmetic number, because the mean of its divisors is an integer number (646922250).

Almost surely, 2^47461776768 is an apocalyptic number.

47461776768 is a gapful number since it is divisible by the number (48) 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 47461776768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82806048000).

47461776768 is an abundant number, since it is smaller than the sum of its proper divisors (118150319232).

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

47461776768 is a wasteful number, since it uses less digits than its factorization.

47461776768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67710 (or 67692 counting only the distinct ones).

The product of its digits is 66382848, while the sum is 63.

The spelling of 47461776768 in words is "forty-seven billion, four hundred sixty-one million, seven hundred seventy-six thousand, seven hundred sixty-eight".