47446263008640 has 1280 divisors, whose sum is σ = 175759608024000. Its totient is φ = 12189290987520.

The previous prime is 47446263008629. The next prime is 47446263008687. The reversal of 47446263008640 is 4680036264474.

47446263008640 is a `hidden beast` number, since 4 + 7 + 4 + 4 + 626 + 3 + 0 + 0 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×47446263008640² (a number of 28 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 73788900159 + ... + 73788900801.

Almost surely, 2^{47446263008640} is an apocalyptic number.

47446263008640 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 47446263008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87879804012000).

47446263008640 is an abundant number, since it is smaller than the sum of its proper divisors (128313345015360).

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

47446263008640 is a wasteful number, since it uses less digits than its factorization.

47446263008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 54.

The spelling of 47446263008640 in words is "forty-seven trillion, four hundred forty-six billion, two hundred sixty-three million, eight thousand, six hundred forty".