47640044760000 has 560 divisors, whose sum is σ = 196375024876800. Its totient is φ = 9899228160000.

The previous prime is 47640044759977. The next prime is 47640044760019. The reversal of 47640044760000 is 6744004674.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6662076 + ... + 11817924.

It is an arithmetic number, because the mean of its divisors is an integer number (350669687280).

Almost surely, 2^{47640044760000} is an apocalyptic number.

47640044760000 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 47640044760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98187512438400).

47640044760000 is an abundant number, since it is smaller than the sum of its proper divisors (148734980116800).

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

47640044760000 is a wasteful number, since it uses less digits than its factorization.

47640044760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5155902 (or 5155877 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

Adding to 47640044760000 its reverse (6744004674), we get a palindrome (47646788764674).

The spelling of 47640044760000 in words is "forty-seven trillion, six hundred forty billion, forty-four million, seven hundred sixty thousand".