47507677560 has 288 divisors, whose sum is σ = 179894941200. Its totient is φ = 10841564160.

The previous prime is 47507677541. The next prime is 47507677561. The reversal of 47507677560 is 6577670574.

47507677560 is a `hidden beast` number, since 4 + 7 + 5 + 0 + 7 + 6 + 77 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 47507677497 and 47507677506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47507677561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13422271 + ... + 13425809.

Almost surely, 2^47507677560 is an apocalyptic number.

47507677560 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 47507677560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89947470600).

47507677560 is an abundant number, since it is smaller than the sum of its proper divisors (132387263640).

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

47507677560 is a wasteful number, since it uses less digits than its factorization.

47507677560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4317 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 47507677560 in words is "forty-seven billion, five hundred seven million, six hundred seventy-seven thousand, five hundred sixty".