47400036747648 has 512 divisors, whose sum is σ = 151275483878400. Its totient is φ = 12991180308480.

The previous prime is 47400036747647. The next prime is 47400036747691. The reversal of 47400036747648 is 84674763000474.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 47400036747591 and 47400036747600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47400036747647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1662386640 + ... + 1662415152.

It is an arithmetic number, because the mean of its divisors is an integer number (295459929450).

Almost surely, 2^{47400036747648} is an apocalyptic number.

47400036747648 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 47400036747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637741939200).

47400036747648 is an abundant number, since it is smaller than the sum of its proper divisors (103875447130752).

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

47400036747648 is a wasteful number, since it uses less digits than its factorization.

47400036747648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29610 (or 29598 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 60.

The spelling of 47400036747648 in words is "forty-seven trillion, four hundred billion, thirty-six million, seven hundred forty-seven thousand, six hundred forty-eight".