47649735567 has 192 divisors, whose sum is σ = 87333120000. Its totient is φ = 25569540864.

The previous prime is 47649735503. The next prime is 47649735569. The reversal of 47649735567 is 76553794674.

It is a happy number.

47649735567 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 9 + 73 + 556 + 7 = 666.

It is not a de Polignac number, because 47649735567 - 2⁶ = 47649735503 is a prime.

It is a super-2 number, since 2×47649735567² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47649735569) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319796809 + ... + 319796957.

It is an arithmetic number, because the mean of its divisors is an integer number (454860000).

Almost surely, 2^47649735567 is an apocalyptic number.

47649735567 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

47649735567 is a deficient number, since it is larger than the sum of its proper divisors (39683384433).

47649735567 is a wasteful number, since it uses less digits than its factorization.

47649735567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 382 counting only the distinct ones).

The product of its digits is 133358400, while the sum is 63.

The spelling of 47649735567 in words is "forty-seven billion, six hundred forty-nine million, seven hundred thirty-five thousand, five hundred sixty-seven".