47973304684032 has 480 divisors, whose sum is σ = 162495825351552. Its totient is φ = 12463442804736.

The previous prime is 47973304684007. The next prime is 47973304684061. The reversal of 47973304684032 is 23048640337974.

It is a zygodrome in base 14.

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, 65189043 + ... + 65920845.

Almost surely, 2^{47973304684032} is an apocalyptic number.

47973304684032 is a gapful number since it is divisible by the number (42) 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 47973304684032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81247912675776).

47973304684032 is an abundant number, since it is smaller than the sum of its proper divisors (114522520667520).

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

47973304684032 is a wasteful number, since it uses less digits than its factorization.

47973304684032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731918 (or 731895 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 60.

The spelling of 47973304684032 in words is "forty-seven trillion, nine hundred seventy-three billion, three hundred four million, six hundred eighty-four thousand, thirty-two".