47429347008960 has 672 divisors, whose sum is σ = 189686237644800. Its totient is φ = 10652544368640.

The previous prime is 47429347008949. The next prime is 47429347008973. The reversal of 47429347008960 is 6980074392474.

47429347008960 is a `hidden beast` number, since 4 + 7 + 4 + 29 + 3 + 470 + 0 + 89 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3176986776 + ... + 3177001704.

Almost surely, 2^{47429347008960} is an apocalyptic number.

47429347008960 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 47429347008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94843118822400).

47429347008960 is an abundant number, since it is smaller than the sum of its proper divisors (142256890635840).

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

47429347008960 is a wasteful number, since it uses less digits than its factorization.

47429347008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17689 (or 17676 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 47429347008960 in words is "forty-seven trillion, four hundred twenty-nine billion, three hundred forty-seven million, eight thousand, nine hundred sixty".