47375640094464 has 432 divisors, whose sum is σ = 153700789482240. Its totient is φ = 14275317934080.

The previous prime is 47375640094301. The next prime is 47375640094477. The reversal of 47375640094464 is 46449004657374.

It is a happy number.

47375640094464 is a `hidden beast` number, since 4 + 7 + 3 + 7 + 564 + 0 + 0 + 9 + 4 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2436131589 + ... + 2436151035.

Almost surely, 2^{47375640094464} is an apocalyptic number.

47375640094464 is a gapful number since it is divisible by the number (44) 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 47375640094464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76850394741120).

47375640094464 is an abundant number, since it is smaller than the sum of its proper divisors (106325149387776).

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

47375640094464 is a wasteful number, since it uses less digits than its factorization.

47375640094464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19841 (or 19642 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 47375640094464 in words is "forty-seven trillion, three hundred seventy-five billion, six hundred forty million, ninety-four thousand, four hundred sixty-four".