547600072320 has 1344 divisors, whose sum is σ = 2419235051400. Its totient is φ = 117719433216.

The previous prime is 547600072231. The next prime is 547600072391. The reversal of 547600072320 is 23270006745.

It is a happy number.

547600072320 is a `hidden beast` number, since 5 + 4 + 7 + 600 + 0 + 7 + 23 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 345941596224 + 201658476096 = 588168^2 + 449064^2 .

It is a tau number, because it is divible by the number of its divisors (1344).

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 167 ways as a sum of consecutive naturals, for example, 388643776 + ... + 388645184.

Almost surely, 2^547600072320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 547600072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209617525700).

547600072320 is an abundant number, since it is smaller than the sum of its proper divisors (1871634979080).

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

547600072320 is a wasteful number, since it uses less digits than its factorization.

547600072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 547600072320 in words is "five hundred forty-seven billion, six hundred million, seventy-two thousand, three hundred twenty".