47297416320 has 1920 divisors, whose sum is σ = 229158357120. Its totient is φ = 9024307200.

The previous prime is 47297416307. The next prime is 47297416321. The reversal of 47297416320 is 2361479274.

47297416320 is a `hidden beast` number, since 4 + 7 + 2 + 9 + 7 + 4 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47297416321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1153595500 + ... + 1153595540.

It is an arithmetic number, because the mean of its divisors is an integer number (119353311).

Almost surely, 2^47297416320 is an apocalyptic number.

47297416320 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 47297416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114579178560).

47297416320 is an abundant number, since it is smaller than the sum of its proper divisors (181860940800).

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

47297416320 is a wasteful number, since it uses less digits than its factorization.

47297416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 47297416320 in words is "forty-seven billion, two hundred ninety-seven million, four hundred sixteen thousand, three hundred twenty".