5506772628672 has 336 divisors, whose sum is σ = 18168338153472. Its totient is φ = 1562103429120.

The previous prime is 5506772628667. The next prime is 5506772628727. The reversal of 5506772628672 is 2768262776055.

5506772628672 is a `hidden beast` number, since 5 + 506 + 7 + 7 + 2 + 62 + 8 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5506772628672² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1052716297 + ... + 1052721527.

Almost surely, 2^{5506772628672} 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 5506772628672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9084169076736).

5506772628672 is an abundant number, since it is smaller than the sum of its proper divisors (12661565524800).

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

5506772628672 is a wasteful number, since it uses less digits than its factorization.

5506772628672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076 (or 7063 counting only the distinct ones).

The product of its (nonzero) digits is 118540800, while the sum is 63.

The spelling of 5506772628672 in words is "five trillion, five hundred six billion, seven hundred seventy-two million, six hundred twenty-eight thousand, six hundred seventy-two".