47542135680 has 512 divisors, whose sum is σ = 187207372800. Its totient is φ = 11323514880.

The previous prime is 47542135609. The next prime is 47542135687. The reversal of 47542135680 is 8653124574.

47542135680 is a `hidden beast` number, since 4 + 75 + 4 + 2 + 13 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47542135687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6960427 + ... + 6967253.

It is an arithmetic number, because the mean of its divisors is an integer number (365639400).

Almost surely, 2^47542135680 is an apocalyptic number.

47542135680 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 47542135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93603686400).

47542135680 is an abundant number, since it is smaller than the sum of its proper divisors (139665237120).

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

47542135680 is a wasteful number, since it uses less digits than its factorization.

47542135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6899 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 47542135680 in words is "forty-seven billion, five hundred forty-two million, one hundred thirty-five thousand, six hundred eighty".