47468780087040 has 432 divisors, whose sum is σ = 182969657226720. Its totient is φ = 11281703731200.

The previous prime is 47468780087023. The next prime is 47468780087063. The reversal of 47468780087040 is 4078008786474.

47468780087040 is a `hidden beast` number, since 474 + 6 + 8 + 7 + 80 + 0 + 87 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121886 + ... + 9807965.

It is an arithmetic number, because the mean of its divisors is an integer number (423540873210).

Almost surely, 2^{47468780087040} is an apocalyptic number.

47468780087040 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 47468780087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91484828613360).

47468780087040 is an abundant number, since it is smaller than the sum of its proper divisors (135500877139680).

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

47468780087040 is a wasteful number, since it uses less digits than its factorization.

47468780087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10929920 (or 10929903 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 47468780087040 in words is "forty-seven trillion, four hundred sixty-eight billion, seven hundred eighty million, eighty-seven thousand, forty".