47220132960 has 2304 divisors, whose sum is σ = 239661047808. Its totient is φ = 8139571200.

The previous prime is 47220132941. The next prime is 47220133033. The reversal of 47220132960 is 6923102274.

47220132960 is a `hidden beast` number, since 4 + 72 + 201 + 329 + 60 = 666.

It is a super-3 number, since 3×47220132960³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1004683657 + ... + 1004683703.

It is an arithmetic number, because the mean of its divisors is an integer number (104019552).

Almost surely, 2^47220132960 is an apocalyptic number.

47220132960 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 47220132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119830523904).

47220132960 is an abundant number, since it is smaller than the sum of its proper divisors (192440914848).

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

47220132960 is a wasteful number, since it uses less digits than its factorization.

47220132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 47220132960 in words is "forty-seven billion, two hundred twenty million, one hundred thirty-two thousand, nine hundred sixty".