355613772672 has 384 divisors, whose sum is σ = 1108017480960. Its totient is φ = 109057867776.

The previous prime is 355613772667. The next prime is 355613772823. The reversal of 355613772672 is 276277316553.

355613772672 is a `hidden beast` number, since 3 + 5 + 5 + 6 + 1 + 377 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×355613772672² (a number of 24 digits) contains 22 as substring.

Its product of digits (11113200) is a multiple of the sum of its prime factors (1350).

It is a congruent number.

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, 412066513 + ... + 412067375.

It is an arithmetic number, because the mean of its divisors is an integer number (2885462190).

Almost surely, 2^355613772672 is an apocalyptic number.

355613772672 is a gapful number since it is divisible by the number (32) 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 355613772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554008740480).

355613772672 is an abundant number, since it is smaller than the sum of its proper divisors (752403708288).

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

355613772672 is a wasteful number, since it uses less digits than its factorization.

355613772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its digits is 11113200, while the sum is 54.

The spelling of 355613772672 in words is "three hundred fifty-five billion, six hundred thirteen million, seven hundred seventy-two thousand, six hundred seventy-two".