47769910272 has 528 divisors, whose sum is σ = 169193884320. Its totient is φ = 13265731584.

The previous prime is 47769910271. The next prime is 47769910301. The reversal of 47769910272 is 27201996774.

47769910272 is a `hidden beast` number, since 477 + 6 + 99 + 10 + 2 + 72 = 666.

47769910272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×47769910272³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47769910271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50125348 + ... + 50126300.

Almost surely, 2^47769910272 is an apocalyptic number.

47769910272 is a gapful number since it is divisible by the number (42) 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 47769910272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84596942160).

47769910272 is an abundant number, since it is smaller than the sum of its proper divisors (121423974048).

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

47769910272 is a wasteful number, since it uses less digits than its factorization.

47769910272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 47769910272 in words is "forty-seven billion, seven hundred sixty-nine million, nine hundred ten thousand, two hundred seventy-two".