47540642688 has 512 divisors, whose sum is σ = 175926988800. Its totient is φ = 12278200320.

The previous prime is 47540642687. The next prime is 47540642731. The reversal of 47540642688 is 88624604574.

It is a happy number.

It is a super-2 number, since 2×47540642688² (a number of 22 digits) contains 22 as substring.

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 (47540642687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60407031 + ... + 60407817.

It is an arithmetic number, because the mean of its divisors is an integer number (343607400).

Almost surely, 2^47540642688 is an apocalyptic number.

47540642688 is a gapful number since it is divisible by the number (48) 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 47540642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87963494400).

47540642688 is an abundant number, since it is smaller than the sum of its proper divisors (128386346112).

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

47540642688 is a wasteful number, since it uses less digits than its factorization.

47540642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 47540642688 in words is "forty-seven billion, five hundred forty million, six hundred forty-two thousand, six hundred eighty-eight".