47701103012640 has 1728 divisors, whose sum is σ = 208202893516800. Its totient is φ = 9733312512000.

The previous prime is 47701103012623. The next prime is 47701103012669. The reversal of 47701103012640 is 4621030110774.

47701103012640 is a `hidden beast` number, since 4 + 7 + 7 + 0 + 1 + 1 + 0 + 3 + 0 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 47701103012595 and 47701103012604.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 15644833836 + ... + 15644836884.

It is an arithmetic number, because the mean of its divisors is an integer number (120487785600).

Almost surely, 2^{47701103012640} is an apocalyptic number.

47701103012640 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 47701103012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104101446758400).

47701103012640 is an abundant number, since it is smaller than the sum of its proper divisors (160501790504160).

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

47701103012640 is a wasteful number, since it uses less digits than its factorization.

47701103012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3327 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 47701103012640 in words is "forty-seven trillion, seven hundred one billion, one hundred three million, twelve thousand, six hundred forty".