47073427568640 has 768 divisors, whose sum is σ = 183130171660800. Its totient is φ = 11375050752000.

The previous prime is 47073427568611. The next prime is 47073427568653. The reversal of 47073427568640 is 4686572437074.

47073427568640 is a `hidden beast` number, since 4 + 7 + 0 + 7 + 3 + 4 + 2 + 7 + 568 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×47073427568640² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 951895915 + ... + 951945365.

It is an arithmetic number, because the mean of its divisors is an integer number (238450744350).

Almost surely, 2^{47073427568640} is an apocalyptic number.

47073427568640 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 47073427568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91565085830400).

47073427568640 is an abundant number, since it is smaller than the sum of its proper divisors (136056744092160).

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

47073427568640 is a wasteful number, since it uses less digits than its factorization.

47073427568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49811 (or 49785 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 47073427568640 in words is "forty-seven trillion, seventy-three billion, four hundred twenty-seven million, five hundred sixty-eight thousand, six hundred forty".