47565671040 has 256 divisors, whose sum is σ = 168757776000. Its totient is φ = 12661899264.

The previous prime is 47565671017. The next prime is 47565671047. The reversal of 47565671040 is 4017656574.

47565671040 is a `hidden beast` number, since 4 + 75 + 6 + 567 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×47565671040² (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 (47565671047) 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, 11385432 + ... + 11389608.

Almost surely, 2^47565671040 is an apocalyptic number.

47565671040 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 47565671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84378888000).

47565671040 is an abundant number, since it is smaller than the sum of its proper divisors (121192104960).

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

47565671040 is a wasteful number, since it uses less digits than its factorization.

47565671040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4846 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47565671040 in words is "forty-seven billion, five hundred sixty-five million, six hundred seventy-one thousand, forty".